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Finding the Fourth Proportional to 42,934.80, 59,237.91 and 27,828.10

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Solution

The fourth proportional to 42,934.80, 59,237.91 and 27,828.10 is: 38,394.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,934.80 : 59,237.91 = 27,828.10 : x
  2. Step 2: Convert to fraction form
    42,934.80/59,237.91 = 27,828.10/x
  3. Step 3: Cross multiply
    42,934.80x = 59,237.91 × 27,828.10
  4. Step 4: Simplify right side
    42,934.80x = 1,648,478,557.32
  5. Step 5: Solve for x
    x = 1,648,478,557.32/42,934.80
  6. Step 6: Final answer
    x = 38,394.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.