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Finding the Fourth Proportional to 32,102.84, 44,302.20 and 17,957

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Solution

The fourth proportional to 32,102.84, 44,302.20 and 17,957 is: 24,780.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,102.84 : 44,302.20 = 17,957 : x
  2. Step 2: Convert to fraction form
    32,102.84/44,302.20 = 17,957/x
  3. Step 3: Cross multiply
    32,102.84x = 44,302.20 × 17,957
  4. Step 4: Simplify right side
    32,102.84x = 795,534,605.40
  5. Step 5: Solve for x
    x = 795,534,605.40/32,102.84
  6. Step 6: Final answer
    x = 24,780.82

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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.