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Finding the Fourth Proportional to 52,595.10, 78,892.65 and 31,859.10

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Solution

The fourth proportional to 52,595.10, 78,892.65 and 31,859.10 is: 47,788.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,595.10 : 78,892.65 = 31,859.10 : x
  2. Step 2: Convert to fraction form
    52,595.10/78,892.65 = 31,859.10/x
  3. Step 3: Cross multiply
    52,595.10x = 78,892.65 × 31,859.10
  4. Step 4: Simplify right side
    52,595.10x = 2,513,448,825.62
  5. Step 5: Solve for x
    x = 2,513,448,825.62/52,595.10
  6. Step 6: Final answer
    x = 47,788.65

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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.