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Finding the Fourth Proportional to 76,291.72, 114,442.62 and 26,376.64

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Solution

The fourth proportional to 76,291.72, 114,442.62 and 26,376.64 is: 39,566.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,291.72 : 114,442.62 = 26,376.64 : x
  2. Step 2: Convert to fraction form
    76,291.72/114,442.62 = 26,376.64/x
  3. Step 3: Cross multiply
    76,291.72x = 114,442.62 × 26,376.64
  4. Step 4: Simplify right side
    76,291.72x = 3,018,611,788.40
  5. Step 5: Solve for x
    x = 3,018,611,788.40/76,291.72
  6. Step 6: Final answer
    x = 39,566.70

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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.