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Finding the Fourth Proportional to 71,017.35, 97,962.61 and 45,514.66

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Solution

The fourth proportional to 71,017.35, 97,962.61 and 45,514.66 is: 62,783.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,017.35 : 97,962.61 = 45,514.66 : x
  2. Step 2: Convert to fraction form
    71,017.35/97,962.61 = 45,514.66/x
  3. Step 3: Cross multiply
    71,017.35x = 97,962.61 × 45,514.66
  4. Step 4: Simplify right side
    71,017.35x = 4,458,734,886.86
  5. Step 5: Solve for x
    x = 4,458,734,886.86/71,017.35
  6. Step 6: Final answer
    x = 62,783.74

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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.