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Finding the Fourth Proportional to 70,657.14, 97,506.92 and 38,827.92

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Solution

The fourth proportional to 70,657.14, 97,506.92 and 38,827.92 is: 53,582.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,657.14 : 97,506.92 = 38,827.92 : x
  2. Step 2: Convert to fraction form
    70,657.14/97,506.92 = 38,827.92/x
  3. Step 3: Cross multiply
    70,657.14x = 97,506.92 × 38,827.92
  4. Step 4: Simplify right side
    70,657.14x = 3,785,990,889.21
  5. Step 5: Solve for x
    x = 3,785,990,889.21/70,657.14
  6. Step 6: Final answer
    x = 53,582.57

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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.