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Finding the Fourth Proportional to 57,140.79, 85,733.74 and 17,700.98

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Solution

The fourth proportional to 57,140.79, 85,733.74 and 17,700.98 is: 26,558.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,140.79 : 85,733.74 = 17,700.98 : x
  2. Step 2: Convert to fraction form
    57,140.79/85,733.74 = 17,700.98/x
  3. Step 3: Cross multiply
    57,140.79x = 85,733.74 × 17,700.98
  4. Step 4: Simplify right side
    57,140.79x = 1,517,570,810.52
  5. Step 5: Solve for x
    x = 1,517,570,810.52/57,140.79
  6. Step 6: Final answer
    x = 26,558.45

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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.