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Finding the Fourth Proportional to 34,090.50, 51,134.93 and 9,130.52

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Solution

The fourth proportional to 34,090.50, 51,134.93 and 9,130.52 is: 13,695.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,090.50 : 51,134.93 = 9,130.52 : x
  2. Step 2: Convert to fraction form
    34,090.50/51,134.93 = 9,130.52/x
  3. Step 3: Cross multiply
    34,090.50x = 51,134.93 × 9,130.52
  4. Step 4: Simplify right side
    34,090.50x = 466,888,501.06
  5. Step 5: Solve for x
    x = 466,888,501.06/34,090.50
  6. Step 6: Final answer
    x = 13,695.56

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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.