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Finding the Fourth Proportional to 32,415.86, 48,623.80 and 10,230.97

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Solution

The fourth proportional to 32,415.86, 48,623.80 and 10,230.97 is: 15,346.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,415.86 : 48,623.80 = 10,230.97 : x
  2. Step 2: Convert to fraction form
    32,415.86/48,623.80 = 10,230.97/x
  3. Step 3: Cross multiply
    32,415.86x = 48,623.80 × 10,230.97
  4. Step 4: Simplify right side
    32,415.86x = 497,468,639.09
  5. Step 5: Solve for x
    x = 497,468,639.09/32,415.86
  6. Step 6: Final answer
    x = 15,346.46

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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.