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Finding the Fourth Proportional to 52,829.76, 79,343.34 and 46,506.88

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Solution

The fourth proportional to 52,829.76, 79,343.34 and 46,506.88 is: 69,847.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,829.76 : 79,343.34 = 46,506.88 : x
  2. Step 2: Convert to fraction form
    52,829.76/79,343.34 = 46,506.88/x
  3. Step 3: Cross multiply
    52,829.76x = 79,343.34 × 46,506.88
  4. Step 4: Simplify right side
    52,829.76x = 3,690,011,192.18
  5. Step 5: Solve for x
    x = 3,690,011,192.18/52,829.76
  6. Step 6: Final answer
    x = 69,847.21

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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.