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Finding the Fourth Proportional to 56,098.38, 77,410.36 and 30,946.26

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Solution

The fourth proportional to 56,098.38, 77,410.36 and 30,946.26 is: 42,702.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,098.38 : 77,410.36 = 30,946.26 : x
  2. Step 2: Convert to fraction form
    56,098.38/77,410.36 = 30,946.26/x
  3. Step 3: Cross multiply
    56,098.38x = 77,410.36 × 30,946.26
  4. Step 4: Simplify right side
    56,098.38x = 2,395,561,127.25
  5. Step 5: Solve for x
    x = 2,395,561,127.25/56,098.38
  6. Step 6: Final answer
    x = 42,702.86

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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.