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Finding the Fourth Proportional to 52,539.69, 78,829.40 and 31,494.75

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Solution

The fourth proportional to 52,539.69, 78,829.40 and 31,494.75 is: 47,254.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,539.69 : 78,829.40 = 31,494.75 : x
  2. Step 2: Convert to fraction form
    52,539.69/78,829.40 = 31,494.75/x
  3. Step 3: Cross multiply
    52,539.69x = 78,829.40 × 31,494.75
  4. Step 4: Simplify right side
    52,539.69x = 2,482,712,088.18
  5. Step 5: Solve for x
    x = 2,482,712,088.18/52,539.69
  6. Step 6: Final answer
    x = 47,254.03

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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.