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Finding the Fourth Proportional to 34,129.29, 51,159.29 and 13,063.94

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Solution

The fourth proportional to 34,129.29, 51,159.29 and 13,063.94 is: 19,582.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,129.29 : 51,159.29 = 13,063.94 : x
  2. Step 2: Convert to fraction form
    34,129.29/51,159.29 = 13,063.94/x
  3. Step 3: Cross multiply
    34,129.29x = 51,159.29 × 13,063.94
  4. Step 4: Simplify right side
    34,129.29x = 668,341,573.89
  5. Step 5: Solve for x
    x = 668,341,573.89/34,129.29
  6. Step 6: Final answer
    x = 19,582.64

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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.