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Finding the Fourth Proportional to 58,291.98, 80,415.63 and 34,402.38

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Solution

The fourth proportional to 58,291.98, 80,415.63 and 34,402.38 is: 47,459.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,291.98 : 80,415.63 = 34,402.38 : x
  2. Step 2: Convert to fraction form
    58,291.98/80,415.63 = 34,402.38/x
  3. Step 3: Cross multiply
    58,291.98x = 80,415.63 × 34,402.38
  4. Step 4: Simplify right side
    58,291.98x = 2,766,489,061.20
  5. Step 5: Solve for x
    x = 2,766,489,061.20/58,291.98
  6. Step 6: Final answer
    x = 47,459.17

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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.