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Finding the Fourth Proportional to 70,678.90, 97,537.64 and 38,413.52

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Solution

The fourth proportional to 70,678.90, 97,537.64 and 38,413.52 is: 53,011.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,678.90 : 97,537.64 = 38,413.52 : x
  2. Step 2: Convert to fraction form
    70,678.90/97,537.64 = 38,413.52/x
  3. Step 3: Cross multiply
    70,678.90x = 97,537.64 × 38,413.52
  4. Step 4: Simplify right side
    70,678.90x = 3,746,764,136.67
  5. Step 5: Solve for x
    x = 3,746,764,136.67/70,678.90
  6. Step 6: Final answer
    x = 53,011.07

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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.