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Finding the Fourth Proportional to 48,413.67, 72,624.13 and 13,353

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Solution

The fourth proportional to 48,413.67, 72,624.13 and 13,353 is: 20,030.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,413.67 : 72,624.13 = 13,353 : x
  2. Step 2: Convert to fraction form
    48,413.67/72,624.13 = 13,353/x
  3. Step 3: Cross multiply
    48,413.67x = 72,624.13 × 13,353
  4. Step 4: Simplify right side
    48,413.67x = 969,749,974.51
  5. Step 5: Solve for x
    x = 969,749,974.51/48,413.67
  6. Step 6: Final answer
    x = 20,030.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.