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Finding the Fourth Proportional to 51,272.60, 76,848.60 and 23,159.84

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Solution

The fourth proportional to 51,272.60, 76,848.60 and 23,159.84 is: 34,712.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,272.60 : 76,848.60 = 23,159.84 : x
  2. Step 2: Convert to fraction form
    51,272.60/76,848.60 = 23,159.84/x
  3. Step 3: Cross multiply
    51,272.60x = 76,848.60 × 23,159.84
  4. Step 4: Simplify right side
    51,272.60x = 1,779,801,280.22
  5. Step 5: Solve for x
    x = 1,779,801,280.22/51,272.60
  6. Step 6: Final answer
    x = 34,712.52

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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.