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Finding the Fourth Proportional to 32,413.12, 44,730.12 and 17,509.12

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Solution

The fourth proportional to 32,413.12, 44,730.12 and 17,509.12 is: 24,162.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,413.12 : 44,730.12 = 17,509.12 : x
  2. Step 2: Convert to fraction form
    32,413.12/44,730.12 = 17,509.12/x
  3. Step 3: Cross multiply
    32,413.12x = 44,730.12 × 17,509.12
  4. Step 4: Simplify right side
    32,413.12x = 783,185,038.69
  5. Step 5: Solve for x
    x = 783,185,038.69/32,413.12
  6. Step 6: Final answer
    x = 24,162.59

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1.5x scale

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.