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Finding the Fourth Proportional to 97,422.50, 134,443.14 and 54,980.12

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Solution

The fourth proportional to 97,422.50, 134,443.14 and 54,980.12 is: 75,872.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,422.50 : 134,443.14 = 54,980.12 : x
  2. Step 2: Convert to fraction form
    97,422.50/134,443.14 = 54,980.12/x
  3. Step 3: Cross multiply
    97,422.50x = 134,443.14 × 54,980.12
  4. Step 4: Simplify right side
    97,422.50x = 7,391,699,970.38
  5. Step 5: Solve for x
    x = 7,391,699,970.38/97,422.50
  6. Step 6: Final answer
    x = 75,872.62

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1.5x scale

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.