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Finding the Fourth Proportional to 42,407.64, 58,514.94 and 27,495

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Solution

The fourth proportional to 42,407.64, 58,514.94 and 27,495 is: 37,938.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,407.64 : 58,514.94 = 27,495 : x
  2. Step 2: Convert to fraction form
    42,407.64/58,514.94 = 27,495/x
  3. Step 3: Cross multiply
    42,407.64x = 58,514.94 × 27,495
  4. Step 4: Simplify right side
    42,407.64x = 1,608,868,275.30
  5. Step 5: Solve for x
    x = 1,608,868,275.30/42,407.64
  6. Step 6: Final answer
    x = 37,938.17

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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.