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Finding the Fourth Proportional to 53,464, 73,774.16 and 29,587.36

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Solution

The fourth proportional to 53,464, 73,774.16 and 29,587.36 is: 40,827.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,464 : 73,774.16 = 29,587.36 : x
  2. Step 2: Convert to fraction form
    53,464/73,774.16 = 29,587.36/x
  3. Step 3: Cross multiply
    53,464x = 73,774.16 × 29,587.36
  4. Step 4: Simplify right side
    53,464x = 2,182,782,630.62
  5. Step 5: Solve for x
    x = 2,182,782,630.62/53,464
  6. Step 6: Final answer
    x = 40,827.15

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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.