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Finding the Fourth Proportional to 56,028.80, 83,956.80 and 48,598.40

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Solution

The fourth proportional to 56,028.80, 83,956.80 and 48,598.40 is: 72,822.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,028.80 : 83,956.80 = 48,598.40 : x
  2. Step 2: Convert to fraction form
    56,028.80/83,956.80 = 48,598.40/x
  3. Step 3: Cross multiply
    56,028.80x = 83,956.80 × 48,598.40
  4. Step 4: Simplify right side
    56,028.80x = 4,080,166,149.12
  5. Step 5: Solve for x
    x = 4,080,166,149.12/56,028.80
  6. Step 6: Final answer
    x = 72,822.66

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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.