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Finding the Fourth Proportional to 32,106.48, 48,142.08 and 9,913.76

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Solution

The fourth proportional to 32,106.48, 48,142.08 and 9,913.76 is: 14,865.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,106.48 : 48,142.08 = 9,913.76 : x
  2. Step 2: Convert to fraction form
    32,106.48/48,142.08 = 9,913.76/x
  3. Step 3: Cross multiply
    32,106.48x = 48,142.08 × 9,913.76
  4. Step 4: Simplify right side
    32,106.48x = 477,269,027.02
  5. Step 5: Solve for x
    x = 477,269,027.02/32,106.48
  6. Step 6: Final answer
    x = 14,865.19

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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.