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Finding the Fourth Proportional to 96,905.97, 145,358.95 and 30,351.30

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Solution

The fourth proportional to 96,905.97, 145,358.95 and 30,351.30 is: 45,526.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,905.97 : 145,358.95 = 30,351.30 : x
  2. Step 2: Convert to fraction form
    96,905.97/145,358.95 = 30,351.30/x
  3. Step 3: Cross multiply
    96,905.97x = 145,358.95 × 30,351.30
  4. Step 4: Simplify right side
    96,905.97x = 4,411,833,682.17
  5. Step 5: Solve for x
    x = 4,411,833,682.17/96,905.97
  6. Step 6: Final answer
    x = 45,526.96

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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.