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Finding the Fourth Proportional to 89,658, 123,686.52 and 57,837.16

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Solution

The fourth proportional to 89,658, 123,686.52 and 57,837.16 is: 79,788.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,658 : 123,686.52 = 57,837.16 : x
  2. Step 2: Convert to fraction form
    89,658/123,686.52 = 57,837.16/x
  3. Step 3: Cross multiply
    89,658x = 123,686.52 × 57,837.16
  4. Step 4: Simplify right side
    89,658x = 7,153,677,047.08
  5. Step 5: Solve for x
    x = 7,153,677,047.08/89,658
  6. Step 6: Final answer
    x = 79,788.50

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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.