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Finding the Fourth Proportional to 97,284, 134,251.92 and 52,572

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Solution

The fourth proportional to 97,284, 134,251.92 and 52,572 is: 72,549.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,284 : 134,251.92 = 52,572 : x
  2. Step 2: Convert to fraction form
    97,284/134,251.92 = 52,572/x
  3. Step 3: Cross multiply
    97,284x = 134,251.92 × 52,572
  4. Step 4: Simplify right side
    97,284x = 7,057,891,938.24
  5. Step 5: Solve for x
    x = 7,057,891,938.24/97,284
  6. Step 6: Final answer
    x = 72,549.36

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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.