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Finding the Fourth Proportional to 32,043.44, 48,070.62 and 9,856.32

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Solution

The fourth proportional to 32,043.44, 48,070.62 and 9,856.32 is: 14,786.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,043.44 : 48,070.62 = 9,856.32 : x
  2. Step 2: Convert to fraction form
    32,043.44/48,070.62 = 9,856.32/x
  3. Step 3: Cross multiply
    32,043.44x = 48,070.62 × 9,856.32
  4. Step 4: Simplify right side
    32,043.44x = 473,799,413.32
  5. Step 5: Solve for x
    x = 473,799,413.32/32,043.44
  6. Step 6: Final answer
    x = 14,786.16

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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.