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Finding the Fourth Proportional to 97,253.66, 145,880.17 and 31,589.66

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Solution

The fourth proportional to 97,253.66, 145,880.17 and 31,589.66 is: 47,384.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,253.66 : 145,880.17 = 31,589.66 : x
  2. Step 2: Convert to fraction form
    97,253.66/145,880.17 = 31,589.66/x
  3. Step 3: Cross multiply
    97,253.66x = 145,880.17 × 31,589.66
  4. Step 4: Simplify right side
    97,253.66x = 4,608,304,971.04
  5. Step 5: Solve for x
    x = 4,608,304,971.04/97,253.66
  6. Step 6: Final answer
    x = 47,384.39

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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.