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Finding the Fourth Proportional to 102,577.50, 141,561.84 and 57,865.50

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Solution

The fourth proportional to 102,577.50, 141,561.84 and 57,865.50 is: 79,857.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,577.50 : 141,561.84 = 57,865.50 : x
  2. Step 2: Convert to fraction form
    102,577.50/141,561.84 = 57,865.50/x
  3. Step 3: Cross multiply
    102,577.50x = 141,561.84 × 57,865.50
  4. Step 4: Simplify right side
    102,577.50x = 8,191,546,652.52
  5. Step 5: Solve for x
    x = 8,191,546,652.52/102,577.50
  6. Step 6: Final answer
    x = 79,857.15

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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.