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Finding the Fourth Proportional to 65,729.71, 98,594.49 and 15,809.77

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Solution

The fourth proportional to 65,729.71, 98,594.49 and 15,809.77 is: 23,714.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,729.71 : 98,594.49 = 15,809.77 : x
  2. Step 2: Convert to fraction form
    65,729.71/98,594.49 = 15,809.77/x
  3. Step 3: Cross multiply
    65,729.71x = 98,594.49 × 15,809.77
  4. Step 4: Simplify right side
    65,729.71x = 1,558,756,210.17
  5. Step 5: Solve for x
    x = 1,558,756,210.17/65,729.71
  6. Step 6: Final answer
    x = 23,714.64

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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.