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Finding the Fourth Proportional to 52,594.92, 78,707.70 and 45,287.51

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Solution

The fourth proportional to 52,594.92, 78,707.70 and 45,287.51 is: 67,772.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,594.92 : 78,707.70 = 45,287.51 : x
  2. Step 2: Convert to fraction form
    52,594.92/78,707.70 = 45,287.51/x
  3. Step 3: Cross multiply
    52,594.92x = 78,707.70 × 45,287.51
  4. Step 4: Simplify right side
    52,594.92x = 3,564,475,357.29
  5. Step 5: Solve for x
    x = 3,564,475,357.29/52,594.92
  6. Step 6: Final answer
    x = 67,772.24

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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.