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Finding the Fourth Proportional to 56,746.47, 85,129.04 and 17,294.34

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Solution

The fourth proportional to 56,746.47, 85,129.04 and 17,294.34 is: 25,944.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,746.47 : 85,129.04 = 17,294.34 : x
  2. Step 2: Convert to fraction form
    56,746.47/85,129.04 = 17,294.34/x
  3. Step 3: Cross multiply
    56,746.47x = 85,129.04 × 17,294.34
  4. Step 4: Simplify right side
    56,746.47x = 1,472,250,924.10
  5. Step 5: Solve for x
    x = 1,472,250,924.10/56,746.47
  6. Step 6: Final answer
    x = 25,944.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.