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Finding the Fourth Proportional to 52,430.52, 78,657.30 and 38,537.40

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Solution

The fourth proportional to 52,430.52, 78,657.30 and 38,537.40 is: 57,814.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,430.52 : 78,657.30 = 38,537.40 : x
  2. Step 2: Convert to fraction form
    52,430.52/78,657.30 = 38,537.40/x
  3. Step 3: Cross multiply
    52,430.52x = 78,657.30 × 38,537.40
  4. Step 4: Simplify right side
    52,430.52x = 3,031,247,833.02
  5. Step 5: Solve for x
    x = 3,031,247,833.02/52,430.52
  6. Step 6: Final answer
    x = 57,814.57

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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.