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Finding the Fourth Proportional to 97,285.40, 145,812.90 and 41,125.40

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Solution

The fourth proportional to 97,285.40, 145,812.90 and 41,125.40 is: 61,639.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,285.40 : 145,812.90 = 41,125.40 : x
  2. Step 2: Convert to fraction form
    97,285.40/145,812.90 = 41,125.40/x
  3. Step 3: Cross multiply
    97,285.40x = 145,812.90 × 41,125.40
  4. Step 4: Simplify right side
    97,285.40x = 5,996,613,837.66
  5. Step 5: Solve for x
    x = 5,996,613,837.66/97,285.40
  6. Step 6: Final answer
    x = 61,639.40

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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.