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Finding the Fourth Proportional to 99,460.32, 137,212.08 and 57,009.12

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Solution

The fourth proportional to 99,460.32, 137,212.08 and 57,009.12 is: 78,647.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,460.32 : 137,212.08 = 57,009.12 : x
  2. Step 2: Convert to fraction form
    99,460.32/137,212.08 = 57,009.12/x
  3. Step 3: Cross multiply
    99,460.32x = 137,212.08 × 57,009.12
  4. Step 4: Simplify right side
    99,460.32x = 7,822,339,934.17
  5. Step 5: Solve for x
    x = 7,822,339,934.17/99,460.32
  6. Step 6: Final answer
    x = 78,647.85

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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.