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Finding the Fourth Proportional to 32,413.56, 48,628.55 and 9,040

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Solution

The fourth proportional to 32,413.56, 48,628.55 and 9,040 is: 13,562.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,413.56 : 48,628.55 = 9,040 : x
  2. Step 2: Convert to fraction form
    32,413.56/48,628.55 = 9,040/x
  3. Step 3: Cross multiply
    32,413.56x = 48,628.55 × 9,040
  4. Step 4: Simplify right side
    32,413.56x = 439,602,080.70
  5. Step 5: Solve for x
    x = 439,602,080.70/32,413.56
  6. Step 6: Final answer
    x = 13,562.29

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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.