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Finding the Fourth Proportional to 56,499.66, 77,973.84 and 31,349.16

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Solution

The fourth proportional to 56,499.66, 77,973.84 and 31,349.16 is: 43,264.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,499.66 : 77,973.84 = 31,349.16 : x
  2. Step 2: Convert to fraction form
    56,499.66/77,973.84 = 31,349.16/x
  3. Step 3: Cross multiply
    56,499.66x = 77,973.84 × 31,349.16
  4. Step 4: Simplify right side
    56,499.66x = 2,444,414,385.97
  5. Step 5: Solve for x
    x = 2,444,414,385.97/56,499.66
  6. Step 6: Final answer
    x = 43,264.23

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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.