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Finding the Fourth Proportional to 97,300.71, 145,966.11 and 41,141.01

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Solution

The fourth proportional to 97,300.71, 145,966.11 and 41,141.01 is: 61,717.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,300.71 : 145,966.11 = 41,141.01 : x
  2. Step 2: Convert to fraction form
    97,300.71/145,966.11 = 41,141.01/x
  3. Step 3: Cross multiply
    97,300.71x = 145,966.11 × 41,141.01
  4. Step 4: Simplify right side
    97,300.71x = 6,005,193,191.17
  5. Step 5: Solve for x
    x = 6,005,193,191.17/97,300.71
  6. Step 6: Final answer
    x = 61,717.88

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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.