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Finding the Fourth Proportional to 69,728.40, 96,225.94 and 37,897.30

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Solution

The fourth proportional to 69,728.40, 96,225.94 and 37,897.30 is: 52,298.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,728.40 : 96,225.94 = 37,897.30 : x
  2. Step 2: Convert to fraction form
    69,728.40/96,225.94 = 37,897.30/x
  3. Step 3: Cross multiply
    69,728.40x = 96,225.94 × 37,897.30
  4. Step 4: Simplify right side
    69,728.40x = 3,646,703,315.96
  5. Step 5: Solve for x
    x = 3,646,703,315.96/69,728.40
  6. Step 6: Final answer
    x = 52,298.68

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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.