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Finding the Fourth Proportional to 51,840.50, 71,543.13 and 29,484.50

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Solution

The fourth proportional to 51,840.50, 71,543.13 and 29,484.50 is: 40,690.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,840.50 : 71,543.13 = 29,484.50 : x
  2. Step 2: Convert to fraction form
    51,840.50/71,543.13 = 29,484.50/x
  3. Step 3: Cross multiply
    51,840.50x = 71,543.13 × 29,484.50
  4. Step 4: Simplify right side
    51,840.50x = 2,109,413,416.49
  5. Step 5: Solve for x
    x = 2,109,413,416.49/51,840.50
  6. Step 6: Final answer
    x = 40,690.45

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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.