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Finding the Fourth Proportional to 32,777.62, 49,122.51 and 30,678.10

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Solution

The fourth proportional to 32,777.62, 49,122.51 and 30,678.10 is: 45,976.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,777.62 : 49,122.51 = 30,678.10 : x
  2. Step 2: Convert to fraction form
    32,777.62/49,122.51 = 30,678.10/x
  3. Step 3: Cross multiply
    32,777.62x = 49,122.51 × 30,678.10
  4. Step 4: Simplify right side
    32,777.62x = 1,506,985,274.03
  5. Step 5: Solve for x
    x = 1,506,985,274.03/32,777.62
  6. Step 6: Final answer
    x = 45,976.04

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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.