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Finding the Fourth Proportional to 57,140.94, 85,710.50 and 15,587.94

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Solution

The fourth proportional to 57,140.94, 85,710.50 and 15,587.94 is: 23,381.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,140.94 : 85,710.50 = 15,587.94 : x
  2. Step 2: Convert to fraction form
    57,140.94/85,710.50 = 15,587.94/x
  3. Step 3: Cross multiply
    57,140.94x = 85,710.50 × 15,587.94
  4. Step 4: Simplify right side
    57,140.94x = 1,336,050,111.89
  5. Step 5: Solve for x
    x = 1,336,050,111.89/57,140.94
  6. Step 6: Final answer
    x = 23,381.66

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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.