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Finding the Fourth Proportional to 83,592.79, 115,358.04 and 47,783.57

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Solution

The fourth proportional to 83,592.79, 115,358.04 and 47,783.57 is: 65,941.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,592.79 : 115,358.04 = 47,783.57 : x
  2. Step 2: Convert to fraction form
    83,592.79/115,358.04 = 47,783.57/x
  3. Step 3: Cross multiply
    83,592.79x = 115,358.04 × 47,783.57
  4. Step 4: Simplify right side
    83,592.79x = 5,512,218,402.61
  5. Step 5: Solve for x
    x = 5,512,218,402.61/83,592.79
  6. Step 6: Final answer
    x = 65,941.32

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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.