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Finding the Fourth Proportional to 70,206.16, 96,886.92 and 38,376.40

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Solution

The fourth proportional to 70,206.16, 96,886.92 and 38,376.40 is: 52,960.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,206.16 : 96,886.92 = 38,376.40 : x
  2. Step 2: Convert to fraction form
    70,206.16/96,886.92 = 38,376.40/x
  3. Step 3: Cross multiply
    70,206.16x = 96,886.92 × 38,376.40
  4. Step 4: Simplify right side
    70,206.16x = 3,718,171,196.69
  5. Step 5: Solve for x
    x = 3,718,171,196.69/70,206.16
  6. Step 6: Final answer
    x = 52,960.75

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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.