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Finding the Fourth Proportional to 32,847.80, 49,278.90 and 10,657.40

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Solution

The fourth proportional to 32,847.80, 49,278.90 and 10,657.40 is: 15,988.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,847.80 : 49,278.90 = 10,657.40 : x
  2. Step 2: Convert to fraction form
    32,847.80/49,278.90 = 10,657.40/x
  3. Step 3: Cross multiply
    32,847.80x = 49,278.90 × 10,657.40
  4. Step 4: Simplify right side
    32,847.80x = 525,184,948.86
  5. Step 5: Solve for x
    x = 525,184,948.86/32,847.80
  6. Step 6: Final answer
    x = 15,988.44

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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.