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Finding the Fourth Proportional to 72,046.30, 108,133.45 and 42,427.10

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Solution

The fourth proportional to 72,046.30, 108,133.45 and 42,427.10 is: 63,678.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,046.30 : 108,133.45 = 42,427.10 : x
  2. Step 2: Convert to fraction form
    72,046.30/108,133.45 = 42,427.10/x
  3. Step 3: Cross multiply
    72,046.30x = 108,133.45 × 42,427.10
  4. Step 4: Simplify right side
    72,046.30x = 4,587,788,696.50
  5. Step 5: Solve for x
    x = 4,587,788,696.50/72,046.30
  6. Step 6: Final answer
    x = 63,678.34

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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.