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Finding the Fourth Proportional to 32,830.98, 49,246.65 and 9,457.98

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Solution

The fourth proportional to 32,830.98, 49,246.65 and 9,457.98 is: 14,187.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,830.98 : 49,246.65 = 9,457.98 : x
  2. Step 2: Convert to fraction form
    32,830.98/49,246.65 = 9,457.98/x
  3. Step 3: Cross multiply
    32,830.98x = 49,246.65 × 9,457.98
  4. Step 4: Simplify right side
    32,830.98x = 465,773,830.77
  5. Step 5: Solve for x
    x = 465,773,830.77/32,830.98
  6. Step 6: Final answer
    x = 14,187.02

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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.