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Finding the Fourth Proportional to 71,523.84, 107,216.64 and 29,948.16

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Solution

The fourth proportional to 71,523.84, 107,216.64 and 29,948.16 is: 44,893.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,523.84 : 107,216.64 = 29,948.16 : x
  2. Step 2: Convert to fraction form
    71,523.84/107,216.64 = 29,948.16/x
  3. Step 3: Cross multiply
    71,523.84x = 107,216.64 × 29,948.16
  4. Step 4: Simplify right side
    71,523.84x = 3,210,941,089.38
  5. Step 5: Solve for x
    x = 3,210,941,089.38/71,523.84
  6. Step 6: Final answer
    x = 44,893.30

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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.