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Finding the Fourth Proportional to 96,498.60, 144,664.92 and 46,510.08

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Solution

The fourth proportional to 96,498.60, 144,664.92 and 46,510.08 is: 69,725.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,498.60 : 144,664.92 = 46,510.08 : x
  2. Step 2: Convert to fraction form
    96,498.60/144,664.92 = 46,510.08/x
  3. Step 3: Cross multiply
    96,498.60x = 144,664.92 × 46,510.08
  4. Step 4: Simplify right side
    96,498.60x = 6,728,377,002.39
  5. Step 5: Solve for x
    x = 6,728,377,002.39/96,498.60
  6. Step 6: Final answer
    x = 69,725.13

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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.