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Finding the Fourth Proportional to 47,872.80, 65,996.01 and 33,681.60

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Solution

The fourth proportional to 47,872.80, 65,996.01 and 33,681.60 is: 46,432.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,872.80 : 65,996.01 = 33,681.60 : x
  2. Step 2: Convert to fraction form
    47,872.80/65,996.01 = 33,681.60/x
  3. Step 3: Cross multiply
    47,872.80x = 65,996.01 × 33,681.60
  4. Step 4: Simplify right side
    47,872.80x = 2,222,851,210.42
  5. Step 5: Solve for x
    x = 2,222,851,210.42/47,872.80
  6. Step 6: Final answer
    x = 46,432.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.