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Finding the Fourth Proportional to 34,706.16, 52,067.46 and 11,332.50

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Solution

The fourth proportional to 34,706.16, 52,067.46 and 11,332.50 is: 17,001.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,706.16 : 52,067.46 = 11,332.50 : x
  2. Step 2: Convert to fraction form
    34,706.16/52,067.46 = 11,332.50/x
  3. Step 3: Cross multiply
    34,706.16x = 52,067.46 × 11,332.50
  4. Step 4: Simplify right side
    34,706.16x = 590,054,490.45
  5. Step 5: Solve for x
    x = 590,054,490.45/34,706.16
  6. Step 6: Final answer
    x = 17,001.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.