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Finding the Fourth Proportional to 100,024.70, 138,051.06 and 57,607.79

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Solution

The fourth proportional to 100,024.70, 138,051.06 and 57,607.79 is: 79,508.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,024.70 : 138,051.06 = 57,607.79 : x
  2. Step 2: Convert to fraction form
    100,024.70/138,051.06 = 57,607.79/x
  3. Step 3: Cross multiply
    100,024.70x = 138,051.06 × 57,607.79
  4. Step 4: Simplify right side
    100,024.70x = 7,952,816,473.76
  5. Step 5: Solve for x
    x = 7,952,816,473.76/100,024.70
  6. Step 6: Final answer
    x = 79,508.53

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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.