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Finding the Fourth Proportional to 64,839, 97,258.50 and 15,591

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Solution

The fourth proportional to 64,839, 97,258.50 and 15,591 is: 23,386.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,839 : 97,258.50 = 15,591 : x
  2. Step 2: Convert to fraction form
    64,839/97,258.50 = 15,591/x
  3. Step 3: Cross multiply
    64,839x = 97,258.50 × 15,591
  4. Step 4: Simplify right side
    64,839x = 1,516,357,273.50
  5. Step 5: Solve for x
    x = 1,516,357,273.50/64,839
  6. Step 6: Final answer
    x = 23,386.50

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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.