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Finding the Fourth Proportional to 77,058.54, 106,174.80 and 51,864.30

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Solution

The fourth proportional to 77,058.54, 106,174.80 and 51,864.30 is: 71,461.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,058.54 : 106,174.80 = 51,864.30 : x
  2. Step 2: Convert to fraction form
    77,058.54/106,174.80 = 51,864.30/x
  3. Step 3: Cross multiply
    77,058.54x = 106,174.80 × 51,864.30
  4. Step 4: Simplify right side
    77,058.54x = 5,506,681,679.64
  5. Step 5: Solve for x
    x = 5,506,681,679.64/77,058.54
  6. Step 6: Final answer
    x = 71,461.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.