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Finding the Fourth Proportional to 42,709.82, 58,967.26 and 38,225.79

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Solution

The fourth proportional to 42,709.82, 58,967.26 and 38,225.79 is: 52,776.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,709.82 : 58,967.26 = 38,225.79 : x
  2. Step 2: Convert to fraction form
    42,709.82/58,967.26 = 38,225.79/x
  3. Step 3: Cross multiply
    42,709.82x = 58,967.26 × 38,225.79
  4. Step 4: Simplify right side
    42,709.82x = 2,254,070,002.07
  5. Step 5: Solve for x
    x = 2,254,070,002.07/42,709.82
  6. Step 6: Final answer
    x = 52,776.39

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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.