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Finding the Fourth Proportional to 108,534.30, 162,692.10 and 49,412.40

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Solution

The fourth proportional to 108,534.30, 162,692.10 and 49,412.40 is: 74,068.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,534.30 : 162,692.10 = 49,412.40 : x
  2. Step 2: Convert to fraction form
    108,534.30/162,692.10 = 49,412.40/x
  3. Step 3: Cross multiply
    108,534.30x = 162,692.10 × 49,412.40
  4. Step 4: Simplify right side
    108,534.30x = 8,039,007,122.04
  5. Step 5: Solve for x
    x = 8,039,007,122.04/108,534.30
  6. Step 6: Final answer
    x = 74,068.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.