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Finding the Fourth Proportional to 70,332.48, 97,058.16 and 38,502

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Solution

The fourth proportional to 70,332.48, 97,058.16 and 38,502 is: 53,132.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,332.48 : 97,058.16 = 38,502 : x
  2. Step 2: Convert to fraction form
    70,332.48/97,058.16 = 38,502/x
  3. Step 3: Cross multiply
    70,332.48x = 97,058.16 × 38,502
  4. Step 4: Simplify right side
    70,332.48x = 3,736,933,276.32
  5. Step 5: Solve for x
    x = 3,736,933,276.32/70,332.48
  6. Step 6: Final answer
    x = 53,132.40

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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.