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Finding the Fourth Proportional to 34,042.32, 51,030.68 and 17,410.19

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Solution

The fourth proportional to 34,042.32, 51,030.68 and 17,410.19 is: 26,098.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,042.32 : 51,030.68 = 17,410.19 : x
  2. Step 2: Convert to fraction form
    34,042.32/51,030.68 = 17,410.19/x
  3. Step 3: Cross multiply
    34,042.32x = 51,030.68 × 17,410.19
  4. Step 4: Simplify right side
    34,042.32x = 888,453,492.42
  5. Step 5: Solve for x
    x = 888,453,492.42/34,042.32
  6. Step 6: Final answer
    x = 26,098.50

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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.