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Finding the Fourth Proportional to 96,099, 144,133.72 and 32,058.28

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Solution

The fourth proportional to 96,099, 144,133.72 and 32,058.28 is: 48,082.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,099 : 144,133.72 = 32,058.28 : x
  2. Step 2: Convert to fraction form
    96,099/144,133.72 = 32,058.28/x
  3. Step 3: Cross multiply
    96,099x = 144,133.72 × 32,058.28
  4. Step 4: Simplify right side
    96,099x = 4,620,679,153.20
  5. Step 5: Solve for x
    x = 4,620,679,153.20/96,099
  6. Step 6: Final answer
    x = 48,082.49

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1.5x scale

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.