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Finding the Fourth Proportional to 42,642.16, 63,984.84 and 28,762

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Solution

The fourth proportional to 42,642.16, 63,984.84 and 28,762 is: 43,157.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,642.16 : 63,984.84 = 28,762 : x
  2. Step 2: Convert to fraction form
    42,642.16/63,984.84 = 28,762/x
  3. Step 3: Cross multiply
    42,642.16x = 63,984.84 × 28,762
  4. Step 4: Simplify right side
    42,642.16x = 1,840,331,968.08
  5. Step 5: Solve for x
    x = 1,840,331,968.08/42,642.16
  6. Step 6: Final answer
    x = 43,157.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.