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Finding the Fourth Proportional to 34,402.50, 47,402.69 and 32,035.77

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Solution

The fourth proportional to 34,402.50, 47,402.69 and 32,035.77 is: 44,141.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,402.50 : 47,402.69 = 32,035.77 : x
  2. Step 2: Convert to fraction form
    34,402.50/47,402.69 = 32,035.77/x
  3. Step 3: Cross multiply
    34,402.50x = 47,402.69 × 32,035.77
  4. Step 4: Simplify right side
    34,402.50x = 1,518,581,514.04
  5. Step 5: Solve for x
    x = 1,518,581,514.04/34,402.50
  6. Step 6: Final answer
    x = 44,141.60

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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.