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Finding the Fourth Proportional to 32,117.87, 44,323.85 and 17,970.81

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Solution

The fourth proportional to 32,117.87, 44,323.85 and 17,970.81 is: 24,800.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,117.87 : 44,323.85 = 17,970.81 : x
  2. Step 2: Convert to fraction form
    32,117.87/44,323.85 = 17,970.81/x
  3. Step 3: Cross multiply
    32,117.87x = 44,323.85 × 17,970.81
  4. Step 4: Simplify right side
    32,117.87x = 796,535,531.75
  5. Step 5: Solve for x
    x = 796,535,531.75/32,117.87
  6. Step 6: Final answer
    x = 24,800.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.