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Finding the Fourth Proportional to 70,531.38, 97,329.96 and 38,699.64

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Solution

The fourth proportional to 70,531.38, 97,329.96 and 38,699.64 is: 53,403.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,531.38 : 97,329.96 = 38,699.64 : x
  2. Step 2: Convert to fraction form
    70,531.38/97,329.96 = 38,699.64/x
  3. Step 3: Cross multiply
    70,531.38x = 97,329.96 × 38,699.64
  4. Step 4: Simplify right side
    70,531.38x = 3,766,634,413.21
  5. Step 5: Solve for x
    x = 3,766,634,413.21/70,531.38
  6. Step 6: Final answer
    x = 53,403.67

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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.