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Finding the Fourth Proportional to 77,417.78, 116,126.82 and 21,258.66

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Solution

The fourth proportional to 77,417.78, 116,126.82 and 21,258.66 is: 31,888.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,417.78 : 116,126.82 = 21,258.66 : x
  2. Step 2: Convert to fraction form
    77,417.78/116,126.82 = 21,258.66/x
  3. Step 3: Cross multiply
    77,417.78x = 116,126.82 × 21,258.66
  4. Step 4: Simplify right side
    77,417.78x = 2,468,700,583.26
  5. Step 5: Solve for x
    x = 2,468,700,583.26/77,417.78
  6. Step 6: Final answer
    x = 31,888.03

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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.