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Finding the Fourth Proportional to 102,587.31, 141,577.65 and 57,274.20

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Solution

The fourth proportional to 102,587.31, 141,577.65 and 57,274.20 is: 79,042.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,587.31 : 141,577.65 = 57,274.20 : x
  2. Step 2: Convert to fraction form
    102,587.31/141,577.65 = 57,274.20/x
  3. Step 3: Cross multiply
    102,587.31x = 141,577.65 × 57,274.20
  4. Step 4: Simplify right side
    102,587.31x = 8,108,746,641.63
  5. Step 5: Solve for x
    x = 8,108,746,641.63/102,587.31
  6. Step 6: Final answer
    x = 79,042.39

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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.