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Finding the Fourth Proportional to 32,497.80, 48,751.86 and 13,777.92

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Solution

The fourth proportional to 32,497.80, 48,751.86 and 13,777.92 is: 20,669.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,497.80 : 48,751.86 = 13,777.92 : x
  2. Step 2: Convert to fraction form
    32,497.80/48,751.86 = 13,777.92/x
  3. Step 3: Cross multiply
    32,497.80x = 48,751.86 × 13,777.92
  4. Step 4: Simplify right side
    32,497.80x = 671,699,226.93
  5. Step 5: Solve for x
    x = 671,699,226.93/32,497.80
  6. Step 6: Final answer
    x = 20,669.07

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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.