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Finding the Fourth Proportional to 34,565.84, 51,859.64 and 12,364.08

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Solution

The fourth proportional to 34,565.84, 51,859.64 and 12,364.08 is: 18,550.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,565.84 : 51,859.64 = 12,364.08 : x
  2. Step 2: Convert to fraction form
    34,565.84/51,859.64 = 12,364.08/x
  3. Step 3: Cross multiply
    34,565.84x = 51,859.64 × 12,364.08
  4. Step 4: Simplify right side
    34,565.84x = 641,196,737.73
  5. Step 5: Solve for x
    x = 641,196,737.73/34,565.84
  6. Step 6: Final answer
    x = 18,550.01

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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.