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Finding the Fourth Proportional to 56,255, 77,695.68 and 38,318.90

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Solution

The fourth proportional to 56,255, 77,695.68 and 38,318.90 is: 52,923.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,255 : 77,695.68 = 38,318.90 : x
  2. Step 2: Convert to fraction form
    56,255/77,695.68 = 38,318.90/x
  3. Step 3: Cross multiply
    56,255x = 77,695.68 × 38,318.90
  4. Step 4: Simplify right side
    56,255x = 2,977,212,992.35
  5. Step 5: Solve for x
    x = 2,977,212,992.35/56,255
  6. Step 6: Final answer
    x = 52,923.53

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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.