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Finding the Fourth Proportional to 32,319.96, 48,480.12 and 9,830.94

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Solution

The fourth proportional to 32,319.96, 48,480.12 and 9,830.94 is: 14,746.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,319.96 : 48,480.12 = 9,830.94 : x
  2. Step 2: Convert to fraction form
    32,319.96/48,480.12 = 9,830.94/x
  3. Step 3: Cross multiply
    32,319.96x = 48,480.12 × 9,830.94
  4. Step 4: Simplify right side
    32,319.96x = 476,605,150.91
  5. Step 5: Solve for x
    x = 476,605,150.91/32,319.96
  6. Step 6: Final answer
    x = 14,746.46

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.