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Finding the Fourth Proportional to 75,706, 104,474.28 and 42,174.16

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Solution

The fourth proportional to 75,706, 104,474.28 and 42,174.16 is: 58,200.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,706 : 104,474.28 = 42,174.16 : x
  2. Step 2: Convert to fraction form
    75,706/104,474.28 = 42,174.16/x
  3. Step 3: Cross multiply
    75,706x = 104,474.28 × 42,174.16
  4. Step 4: Simplify right side
    75,706x = 4,406,115,000.60
  5. Step 5: Solve for x
    x = 4,406,115,000.60/75,706
  6. Step 6: Final answer
    x = 58,200.34

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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.