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Finding the Fourth Proportional to 57,113, 85,567.74 and 48,707.74

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Solution

The fourth proportional to 57,113, 85,567.74 and 48,707.74 is: 72,974.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,113 : 85,567.74 = 48,707.74 : x
  2. Step 2: Convert to fraction form
    57,113/85,567.74 = 48,707.74/x
  3. Step 3: Cross multiply
    57,113x = 85,567.74 × 48,707.74
  4. Step 4: Simplify right side
    57,113x = 4,167,811,232.31
  5. Step 5: Solve for x
    x = 4,167,811,232.31/57,113
  6. Step 6: Final answer
    x = 72,974.83

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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.