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Finding the Fourth Proportional to 46,081.84, 69,124.02 and 12,802

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Solution

The fourth proportional to 46,081.84, 69,124.02 and 12,802 is: 19,203.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,081.84 : 69,124.02 = 12,802 : x
  2. Step 2: Convert to fraction form
    46,081.84/69,124.02 = 12,802/x
  3. Step 3: Cross multiply
    46,081.84x = 69,124.02 × 12,802
  4. Step 4: Simplify right side
    46,081.84x = 884,925,704.04
  5. Step 5: Solve for x
    x = 884,925,704.04/46,081.84
  6. Step 6: Final answer
    x = 19,203.35

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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.