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Finding the Fourth Proportional to 32,561, 44,934.20 and 17,657

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Solution

The fourth proportional to 32,561, 44,934.20 and 17,657 is: 24,366.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,561 : 44,934.20 = 17,657 : x
  2. Step 2: Convert to fraction form
    32,561/44,934.20 = 17,657/x
  3. Step 3: Cross multiply
    32,561x = 44,934.20 × 17,657
  4. Step 4: Simplify right side
    32,561x = 793,403,169.40
  5. Step 5: Solve for x
    x = 793,403,169.40/32,561
  6. Step 6: Final answer
    x = 24,366.67

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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.