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Finding the Fourth Proportional to 70,102.32, 96,740.71 and 38,271.22

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Solution

The fourth proportional to 70,102.32, 96,740.71 and 38,271.22 is: 52,814.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,102.32 : 96,740.71 = 38,271.22 : x
  2. Step 2: Convert to fraction form
    70,102.32/96,740.71 = 38,271.22/x
  3. Step 3: Cross multiply
    70,102.32x = 96,740.71 × 38,271.22
  4. Step 4: Simplify right side
    70,102.32x = 3,702,384,995.37
  5. Step 5: Solve for x
    x = 3,702,384,995.37/70,102.32
  6. Step 6: Final answer
    x = 52,814.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.