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Finding the Fourth Proportional to 76,695.48, 114,946.29 and 34,530.66

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Solution

The fourth proportional to 76,695.48, 114,946.29 and 34,530.66 is: 51,752.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,695.48 : 114,946.29 = 34,530.66 : x
  2. Step 2: Convert to fraction form
    76,695.48/114,946.29 = 34,530.66/x
  3. Step 3: Cross multiply
    76,695.48x = 114,946.29 × 34,530.66
  4. Step 4: Simplify right side
    76,695.48x = 3,969,171,258.25
  5. Step 5: Solve for x
    x = 3,969,171,258.25/76,695.48
  6. Step 6: Final answer
    x = 51,752.35

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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.