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Finding the Fourth Proportional to 32,588.64, 48,890.96 and 10,402

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Solution

The fourth proportional to 32,588.64, 48,890.96 and 10,402 is: 15,605.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,588.64 : 48,890.96 = 10,402 : x
  2. Step 2: Convert to fraction form
    32,588.64/48,890.96 = 10,402/x
  3. Step 3: Cross multiply
    32,588.64x = 48,890.96 × 10,402
  4. Step 4: Simplify right side
    32,588.64x = 508,563,765.92
  5. Step 5: Solve for x
    x = 508,563,765.92/32,588.64
  6. Step 6: Final answer
    x = 15,605.55

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