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Finding the Fourth Proportional to 83,597.60, 115,364.70 and 47,788.40

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Solution

The fourth proportional to 83,597.60, 115,364.70 and 47,788.40 is: 65,948.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,597.60 : 115,364.70 = 47,788.40 : x
  2. Step 2: Convert to fraction form
    83,597.60/115,364.70 = 47,788.40/x
  3. Step 3: Cross multiply
    83,597.60x = 115,364.70 × 47,788.40
  4. Step 4: Simplify right side
    83,597.60x = 5,513,094,429.48
  5. Step 5: Solve for x
    x = 5,513,094,429.48/83,597.60
  6. Step 6: Final answer
    x = 65,948.00

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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.