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Finding the Fourth Proportional to 56,499.62, 77,966.82 and 31,005.38

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Solution

The fourth proportional to 56,499.62, 77,966.82 and 31,005.38 is: 42,785.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,499.62 : 77,966.82 = 31,005.38 : x
  2. Step 2: Convert to fraction form
    56,499.62/77,966.82 = 31,005.38/x
  3. Step 3: Cross multiply
    56,499.62x = 77,966.82 × 31,005.38
  4. Step 4: Simplify right side
    56,499.62x = 2,417,390,881.49
  5. Step 5: Solve for x
    x = 2,417,390,881.49/56,499.62
  6. Step 6: Final answer
    x = 42,785.97

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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.