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Finding the Fourth Proportional to 42,191.88, 58,211.64 and 28,047.12

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Solution

The fourth proportional to 42,191.88, 58,211.64 and 28,047.12 is: 38,696.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,191.88 : 58,211.64 = 28,047.12 : x
  2. Step 2: Convert to fraction form
    42,191.88/58,211.64 = 28,047.12/x
  3. Step 3: Cross multiply
    42,191.88x = 58,211.64 × 28,047.12
  4. Step 4: Simplify right side
    42,191.88x = 1,632,668,852.48
  5. Step 5: Solve for x
    x = 1,632,668,852.48/42,191.88
  6. Step 6: Final answer
    x = 38,696.28

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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.