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Finding the Fourth Proportional to 99,746, 137,652.36 and 55,036.88

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Solution

The fourth proportional to 99,746, 137,652.36 and 55,036.88 is: 75,952.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,746 : 137,652.36 = 55,036.88 : x
  2. Step 2: Convert to fraction form
    99,746/137,652.36 = 55,036.88/x
  3. Step 3: Cross multiply
    99,746x = 137,652.36 × 55,036.88
  4. Step 4: Simplify right side
    99,746x = 7,575,956,419.04
  5. Step 5: Solve for x
    x = 7,575,956,419.04/99,746
  6. Step 6: Final answer
    x = 75,952.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.