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Finding the Fourth Proportional to 34,699.75, 52,045.75 and 9,740.77

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Solution

The fourth proportional to 34,699.75, 52,045.75 and 9,740.77 is: 14,610.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,699.75 : 52,045.75 = 9,740.77 : x
  2. Step 2: Convert to fraction form
    34,699.75/52,045.75 = 9,740.77/x
  3. Step 3: Cross multiply
    34,699.75x = 52,045.75 × 9,740.77
  4. Step 4: Simplify right side
    34,699.75x = 506,965,680.23
  5. Step 5: Solve for x
    x = 506,965,680.23/34,699.75
  6. Step 6: Final answer
    x = 14,610.07

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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.