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Finding the Fourth Proportional to 34,337.37, 51,740.02 and 28,234.10

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Solution

The fourth proportional to 34,337.37, 51,740.02 and 28,234.10 is: 42,543.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,337.37 : 51,740.02 = 28,234.10 : x
  2. Step 2: Convert to fraction form
    34,337.37/51,740.02 = 28,234.10/x
  3. Step 3: Cross multiply
    34,337.37x = 51,740.02 × 28,234.10
  4. Step 4: Simplify right side
    34,337.37x = 1,460,832,498.81
  5. Step 5: Solve for x
    x = 1,460,832,498.81/34,337.37
  6. Step 6: Final answer
    x = 42,543.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.