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Finding the Fourth Proportional to 52,417.98, 72,343.14 and 29,764.02

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Solution

The fourth proportional to 52,417.98, 72,343.14 and 29,764.02 is: 41,077.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,417.98 : 72,343.14 = 29,764.02 : x
  2. Step 2: Convert to fraction form
    52,417.98/72,343.14 = 29,764.02/x
  3. Step 3: Cross multiply
    52,417.98x = 72,343.14 × 29,764.02
  4. Step 4: Simplify right side
    52,417.98x = 2,153,222,665.82
  5. Step 5: Solve for x
    x = 2,153,222,665.82/52,417.98
  6. Step 6: Final answer
    x = 41,077.94

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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.