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Finding the Fourth Proportional to 97,314.80, 145,972.17 and 23,442.80

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Solution

The fourth proportional to 97,314.80, 145,972.17 and 23,442.80 is: 35,164.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,314.80 : 145,972.17 = 23,442.80 : x
  2. Step 2: Convert to fraction form
    97,314.80/145,972.17 = 23,442.80/x
  3. Step 3: Cross multiply
    97,314.80x = 145,972.17 × 23,442.80
  4. Step 4: Simplify right side
    97,314.80x = 3,421,996,386.88
  5. Step 5: Solve for x
    x = 3,421,996,386.88/97,314.80
  6. Step 6: Final answer
    x = 35,164.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.