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Finding the Fourth Proportional to 76,058.64, 114,026.24 and 31,718.64

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Solution

The fourth proportional to 76,058.64, 114,026.24 and 31,718.64 is: 47,552.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,058.64 : 114,026.24 = 31,718.64 : x
  2. Step 2: Convert to fraction form
    76,058.64/114,026.24 = 31,718.64/x
  3. Step 3: Cross multiply
    76,058.64x = 114,026.24 × 31,718.64
  4. Step 4: Simplify right side
    76,058.64x = 3,616,757,257.11
  5. Step 5: Solve for x
    x = 3,616,757,257.11/76,058.64
  6. Step 6: Final answer
    x = 47,552.22

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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.