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Finding the Fourth Proportional to 42,341.92, 58,443.36 and 26,416.78

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Solution

The fourth proportional to 42,341.92, 58,443.36 and 26,416.78 is: 36,462.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,341.92 : 58,443.36 = 26,416.78 : x
  2. Step 2: Convert to fraction form
    42,341.92/58,443.36 = 26,416.78/x
  3. Step 3: Cross multiply
    42,341.92x = 58,443.36 × 26,416.78
  4. Step 4: Simplify right side
    42,341.92x = 1,543,885,383.58
  5. Step 5: Solve for x
    x = 1,543,885,383.58/42,341.92
  6. Step 6: Final answer
    x = 36,462.34

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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.