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Finding the Fourth Proportional to 57,117, 85,573.74 and 48,711.74

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Solution

The fourth proportional to 57,117, 85,573.74 and 48,711.74 is: 72,980.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,117 : 85,573.74 = 48,711.74 : x
  2. Step 2: Convert to fraction form
    57,117/85,573.74 = 48,711.74/x
  3. Step 3: Cross multiply
    57,117x = 85,573.74 × 48,711.74
  4. Step 4: Simplify right side
    57,117x = 4,168,445,773.71
  5. Step 5: Solve for x
    x = 4,168,445,773.71/57,117
  6. Step 6: Final answer
    x = 72,980.82

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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.