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Finding the Fourth Proportional to 32,117.90, 44,322.75 and 17,970.75

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Solution

The fourth proportional to 32,117.90, 44,322.75 and 17,970.75 is: 24,799.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,117.90 : 44,322.75 = 17,970.75 : x
  2. Step 2: Convert to fraction form
    32,117.90/44,322.75 = 17,970.75/x
  3. Step 3: Cross multiply
    32,117.90x = 44,322.75 × 17,970.75
  4. Step 4: Simplify right side
    32,117.90x = 796,513,059.56
  5. Step 5: Solve for x
    x = 796,513,059.56/32,117.90
  6. Step 6: Final answer
    x = 24,799.66

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1.5x scale

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.