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Finding the Fourth Proportional to 78,527.48, 117,746.46 and 53,597.71

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Solution

The fourth proportional to 78,527.48, 117,746.46 and 53,597.71 is: 80,366.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,527.48 : 117,746.46 = 53,597.71 : x
  2. Step 2: Convert to fraction form
    78,527.48/117,746.46 = 53,597.71/x
  3. Step 3: Cross multiply
    78,527.48x = 117,746.46 × 53,597.71
  4. Step 4: Simplify right side
    78,527.48x = 6,310,940,322.24
  5. Step 5: Solve for x
    x = 6,310,940,322.24/78,527.48
  6. Step 6: Final answer
    x = 80,366.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.