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Finding the Fourth Proportional to 63,746.61, 87,878.10 and 42,200.26

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Solution

The fourth proportional to 63,746.61, 87,878.10 and 42,200.26 is: 58,175.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,746.61 : 87,878.10 = 42,200.26 : x
  2. Step 2: Convert to fraction form
    63,746.61/87,878.10 = 42,200.26/x
  3. Step 3: Cross multiply
    63,746.61x = 87,878.10 × 42,200.26
  4. Step 4: Simplify right side
    63,746.61x = 3,708,478,668.31
  5. Step 5: Solve for x
    x = 3,708,478,668.31/63,746.61
  6. Step 6: Final answer
    x = 58,175.31

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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.