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Finding the Fourth Proportional to 34,246, 47,263.32 and 19,342.96

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Solution

The fourth proportional to 34,246, 47,263.32 and 19,342.96 is: 26,695.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,246 : 47,263.32 = 19,342.96 : x
  2. Step 2: Convert to fraction form
    34,246/47,263.32 = 19,342.96/x
  3. Step 3: Cross multiply
    34,246x = 47,263.32 × 19,342.96
  4. Step 4: Simplify right side
    34,246x = 914,212,508.23
  5. Step 5: Solve for x
    x = 914,212,508.23/34,246
  6. Step 6: Final answer
    x = 26,695.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.