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Finding the Fourth Proportional to 47,513.90, 65,595.30 and 32,429

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Solution

The fourth proportional to 47,513.90, 65,595.30 and 32,429 is: 44,769.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,513.90 : 65,595.30 = 32,429 : x
  2. Step 2: Convert to fraction form
    47,513.90/65,595.30 = 32,429/x
  3. Step 3: Cross multiply
    47,513.90x = 65,595.30 × 32,429
  4. Step 4: Simplify right side
    47,513.90x = 2,127,189,983.70
  5. Step 5: Solve for x
    x = 2,127,189,983.70/47,513.90
  6. Step 6: Final answer
    x = 44,769.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.