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Finding the Fourth Proportional to 78,302.16, 108,057.24 and 42,492.18

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Solution

The fourth proportional to 78,302.16, 108,057.24 and 42,492.18 is: 58,639.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,302.16 : 108,057.24 = 42,492.18 : x
  2. Step 2: Convert to fraction form
    78,302.16/108,057.24 = 42,492.18/x
  3. Step 3: Cross multiply
    78,302.16x = 108,057.24 × 42,492.18
  4. Step 4: Simplify right side
    78,302.16x = 4,591,587,692.38
  5. Step 5: Solve for x
    x = 4,591,587,692.38/78,302.16
  6. Step 6: Final answer
    x = 58,639.35

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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.