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Finding the Fourth Proportional to 51,596.31, 77,398.14 and 17,848.34

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Solution

The fourth proportional to 51,596.31, 77,398.14 and 17,848.34 is: 26,773.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,596.31 : 77,398.14 = 17,848.34 : x
  2. Step 2: Convert to fraction form
    51,596.31/77,398.14 = 17,848.34/x
  3. Step 3: Cross multiply
    51,596.31x = 77,398.14 × 17,848.34
  4. Step 4: Simplify right side
    51,596.31x = 1,381,427,931.10
  5. Step 5: Solve for x
    x = 1,381,427,931.10/51,596.31
  6. Step 6: Final answer
    x = 26,773.77

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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.