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Finding the Fourth Proportional to 34,751.29, 52,130 and 9,791.55

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Solution

The fourth proportional to 34,751.29, 52,130 and 9,791.55 is: 14,688.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,751.29 : 52,130 = 9,791.55 : x
  2. Step 2: Convert to fraction form
    34,751.29/52,130 = 9,791.55/x
  3. Step 3: Cross multiply
    34,751.29x = 52,130 × 9,791.55
  4. Step 4: Simplify right side
    34,751.29x = 510,433,501.50
  5. Step 5: Solve for x
    x = 510,433,501.50/34,751.29
  6. Step 6: Final answer
    x = 14,688.19

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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.