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Finding the Fourth Proportional to 34,710.63, 52,067.96 and 9,752.62

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Solution

The fourth proportional to 34,710.63, 52,067.96 and 9,752.62 is: 14,629.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,710.63 : 52,067.96 = 9,752.62 : x
  2. Step 2: Convert to fraction form
    34,710.63/52,067.96 = 9,752.62/x
  3. Step 3: Cross multiply
    34,710.63x = 52,067.96 × 9,752.62
  4. Step 4: Simplify right side
    34,710.63x = 507,798,979.29
  5. Step 5: Solve for x
    x = 507,798,979.29/34,710.63
  6. Step 6: Final answer
    x = 14,629.50

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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.