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Finding the Fourth Proportional to 78,646.32, 117,944.28 and 26,044.56

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Solution

The fourth proportional to 78,646.32, 117,944.28 and 26,044.56 is: 39,058.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,646.32 : 117,944.28 = 26,044.56 : x
  2. Step 2: Convert to fraction form
    78,646.32/117,944.28 = 26,044.56/x
  3. Step 3: Cross multiply
    78,646.32x = 117,944.28 × 26,044.56
  4. Step 4: Simplify right side
    78,646.32x = 3,071,806,877.12
  5. Step 5: Solve for x
    x = 3,071,806,877.12/78,646.32
  6. Step 6: Final answer
    x = 39,058.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.