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Finding the Fourth Proportional to 76,670.52, 115,005.76 and 21,266.52

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Solution

The fourth proportional to 76,670.52, 115,005.76 and 21,266.52 is: 31,899.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,670.52 : 115,005.76 = 21,266.52 : x
  2. Step 2: Convert to fraction form
    76,670.52/115,005.76 = 21,266.52/x
  3. Step 3: Cross multiply
    76,670.52x = 115,005.76 × 21,266.52
  4. Step 4: Simplify right side
    76,670.52x = 2,445,772,295.16
  5. Step 5: Solve for x
    x = 2,445,772,295.16/76,670.52
  6. Step 6: Final answer
    x = 31,899.77

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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.