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Finding the Fourth Proportional to 70,339.32, 97,070.74 and 38,508.14

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Solution

The fourth proportional to 70,339.32, 97,070.74 and 38,508.14 is: 53,142.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,339.32 : 97,070.74 = 38,508.14 : x
  2. Step 2: Convert to fraction form
    70,339.32/97,070.74 = 38,508.14/x
  3. Step 3: Cross multiply
    70,339.32x = 97,070.74 × 38,508.14
  4. Step 4: Simplify right side
    70,339.32x = 3,738,013,792.23
  5. Step 5: Solve for x
    x = 3,738,013,792.23/70,339.32
  6. Step 6: Final answer
    x = 53,142.59

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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.