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Finding the Fourth Proportional to 57,051, 85,587.90 and 17,606.63

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Solution

The fourth proportional to 57,051, 85,587.90 and 17,606.63 is: 26,413.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,051 : 85,587.90 = 17,606.63 : x
  2. Step 2: Convert to fraction form
    57,051/85,587.90 = 17,606.63/x
  3. Step 3: Cross multiply
    57,051x = 85,587.90 × 17,606.63
  4. Step 4: Simplify right side
    57,051x = 1,506,914,487.78
  5. Step 5: Solve for x
    x = 1,506,914,487.78/57,051
  6. Step 6: Final answer
    x = 26,413.46

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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.