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Finding the Fourth Proportional to 99,653.47, 137,527.91 and 57,218.38

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Solution

The fourth proportional to 99,653.47, 137,527.91 and 57,218.38 is: 78,964.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,653.47 : 137,527.91 = 57,218.38 : x
  2. Step 2: Convert to fraction form
    99,653.47/137,527.91 = 57,218.38/x
  3. Step 3: Cross multiply
    99,653.47x = 137,527.91 × 57,218.38
  4. Step 4: Simplify right side
    99,653.47x = 7,869,124,014.21
  5. Step 5: Solve for x
    x = 7,869,124,014.21/99,653.47
  6. Step 6: Final answer
    x = 78,964.88

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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.