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Finding the Fourth Proportional to 99,534.76, 137,357.96 and 54,822.76

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Solution

The fourth proportional to 99,534.76, 137,357.96 and 54,822.76 is: 75,655.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,534.76 : 137,357.96 = 54,822.76 : x
  2. Step 2: Convert to fraction form
    99,534.76/137,357.96 = 54,822.76/x
  3. Step 3: Cross multiply
    99,534.76x = 137,357.96 × 54,822.76
  4. Step 4: Simplify right side
    99,534.76x = 7,530,342,475.17
  5. Step 5: Solve for x
    x = 7,530,342,475.17/99,534.76
  6. Step 6: Final answer
    x = 75,655.40

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1.5x scale

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.