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Finding the Fourth Proportional to 34,929, 52,393.50 and 14,152.50

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Solution

The fourth proportional to 34,929, 52,393.50 and 14,152.50 is: 21,228.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,929 : 52,393.50 = 14,152.50 : x
  2. Step 2: Convert to fraction form
    34,929/52,393.50 = 14,152.50/x
  3. Step 3: Cross multiply
    34,929x = 52,393.50 × 14,152.50
  4. Step 4: Simplify right side
    34,929x = 741,499,008.75
  5. Step 5: Solve for x
    x = 741,499,008.75/34,929
  6. Step 6: Final answer
    x = 21,228.75

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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.