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Finding the Fourth Proportional to 32,076, 44,263.08 and 17,735

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Solution

The fourth proportional to 32,076, 44,263.08 and 17,735 is: 24,473.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,076 : 44,263.08 = 17,735 : x
  2. Step 2: Convert to fraction form
    32,076/44,263.08 = 17,735/x
  3. Step 3: Cross multiply
    32,076x = 44,263.08 × 17,735
  4. Step 4: Simplify right side
    32,076x = 785,005,723.80
  5. Step 5: Solve for x
    x = 785,005,723.80/32,076
  6. Step 6: Final answer
    x = 24,473.30

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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.