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Finding the Fourth Proportional to 70,035.95, 96,649.50 and 38,204.86

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Solution

The fourth proportional to 70,035.95, 96,649.50 and 38,204.86 is: 52,722.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,035.95 : 96,649.50 = 38,204.86 : x
  2. Step 2: Convert to fraction form
    70,035.95/96,649.50 = 38,204.86/x
  3. Step 3: Cross multiply
    70,035.95x = 96,649.50 × 38,204.86
  4. Step 4: Simplify right side
    70,035.95x = 3,692,480,374.95
  5. Step 5: Solve for x
    x = 3,692,480,374.95/70,035.95
  6. Step 6: Final answer
    x = 52,722.64

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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.