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Finding the Fourth Proportional to 70,232.32, 96,922 and 38,403.20

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Solution

The fourth proportional to 70,232.32, 96,922 and 38,403.20 is: 52,997.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,232.32 : 96,922 = 38,403.20 : x
  2. Step 2: Convert to fraction form
    70,232.32/96,922 = 38,403.20/x
  3. Step 3: Cross multiply
    70,232.32x = 96,922 × 38,403.20
  4. Step 4: Simplify right side
    70,232.32x = 3,722,114,950.40
  5. Step 5: Solve for x
    x = 3,722,114,950.40/70,232.32
  6. Step 6: Final answer
    x = 52,997.18

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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.