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Finding the Fourth Proportional to 70,924.68, 106,411.32 and 24,210.36

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Solution

The fourth proportional to 70,924.68, 106,411.32 and 24,210.36 is: 36,323.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,924.68 : 106,411.32 = 24,210.36 : x
  2. Step 2: Convert to fraction form
    70,924.68/106,411.32 = 24,210.36/x
  3. Step 3: Cross multiply
    70,924.68x = 106,411.32 × 24,210.36
  4. Step 4: Simplify right side
    70,924.68x = 2,576,255,712.17
  5. Step 5: Solve for x
    x = 2,576,255,712.17/70,924.68
  6. Step 6: Final answer
    x = 36,323.83

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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.