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Finding the Fourth Proportional to 101,038.54, 151,541.49 and 47,730.40

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Solution

The fourth proportional to 101,038.54, 151,541.49 and 47,730.40 is: 71,587.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,038.54 : 151,541.49 = 47,730.40 : x
  2. Step 2: Convert to fraction form
    101,038.54/151,541.49 = 47,730.40/x
  3. Step 3: Cross multiply
    101,038.54x = 151,541.49 × 47,730.40
  4. Step 4: Simplify right side
    101,038.54x = 7,233,135,934.30
  5. Step 5: Solve for x
    x = 7,233,135,934.30/101,038.54
  6. Step 6: Final answer
    x = 71,587.89

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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.