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Finding the Fourth Proportional to 34,800, 52,152.72 and 16,038.76

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Solution

The fourth proportional to 34,800, 52,152.72 and 16,038.76 is: 24,036.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,800 : 52,152.72 = 16,038.76 : x
  2. Step 2: Convert to fraction form
    34,800/52,152.72 = 16,038.76/x
  3. Step 3: Cross multiply
    34,800x = 52,152.72 × 16,038.76
  4. Step 4: Simplify right side
    34,800x = 836,464,959.43
  5. Step 5: Solve for x
    x = 836,464,959.43/34,800
  6. Step 6: Final answer
    x = 24,036.35

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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.