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Finding the Fourth Proportional to 70,345.91, 97,077.35 and 38,514.80

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Solution

The fourth proportional to 70,345.91, 97,077.35 and 38,514.80 is: 53,150.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,345.91 : 97,077.35 = 38,514.80 : x
  2. Step 2: Convert to fraction form
    70,345.91/97,077.35 = 38,514.80/x
  3. Step 3: Cross multiply
    70,345.91x = 97,077.35 × 38,514.80
  4. Step 4: Simplify right side
    70,345.91x = 3,738,915,058.76
  5. Step 5: Solve for x
    x = 3,738,915,058.76/70,345.91
  6. Step 6: Final answer
    x = 53,150.42

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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.