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Finding the Fourth Proportional to 97,292, 134,262.96 and 52,580

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Solution

The fourth proportional to 97,292, 134,262.96 and 52,580 is: 72,560.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,292 : 134,262.96 = 52,580 : x
  2. Step 2: Convert to fraction form
    97,292/134,262.96 = 52,580/x
  3. Step 3: Cross multiply
    97,292x = 134,262.96 × 52,580
  4. Step 4: Simplify right side
    97,292x = 7,059,546,436.80
  5. Step 5: Solve for x
    x = 7,059,546,436.80/97,292
  6. Step 6: Final answer
    x = 72,560.40

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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.