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Finding the Fourth Proportional to 70,102.43, 96,740.84 and 38,271.32

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Solution

The fourth proportional to 70,102.43, 96,740.84 and 38,271.32 is: 52,814.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,102.43 : 96,740.84 = 38,271.32 : x
  2. Step 2: Convert to fraction form
    70,102.43/96,740.84 = 38,271.32/x
  3. Step 3: Cross multiply
    70,102.43x = 96,740.84 × 38,271.32
  4. Step 4: Simplify right side
    70,102.43x = 3,702,399,619.46
  5. Step 5: Solve for x
    x = 3,702,399,619.46/70,102.43
  6. Step 6: Final answer
    x = 52,814.14

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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.