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Finding the Fourth Proportional to 101,038.50, 151,579.62 and 38,709

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Solution

The fourth proportional to 101,038.50, 151,579.62 and 38,709 is: 58,071.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,038.50 : 151,579.62 = 38,709 : x
  2. Step 2: Convert to fraction form
    101,038.50/151,579.62 = 38,709/x
  3. Step 3: Cross multiply
    101,038.50x = 151,579.62 × 38,709
  4. Step 4: Simplify right side
    101,038.50x = 5,867,495,510.58
  5. Step 5: Solve for x
    x = 5,867,495,510.58/101,038.50
  6. Step 6: Final answer
    x = 58,071.88

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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.