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Finding the Fourth Proportional to 102,594.08, 141,580 and 57,882.08

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Solution

The fourth proportional to 102,594.08, 141,580 and 57,882.08 is: 79,877.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,594.08 : 141,580 = 57,882.08 : x
  2. Step 2: Convert to fraction form
    102,594.08/141,580 = 57,882.08/x
  3. Step 3: Cross multiply
    102,594.08x = 141,580 × 57,882.08
  4. Step 4: Simplify right side
    102,594.08x = 8,194,944,886.40
  5. Step 5: Solve for x
    x = 8,194,944,886.40/102,594.08
  6. Step 6: Final answer
    x = 79,877.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.