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Finding the Fourth Proportional to 30,841.62, 46,248 and 11,117.58

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Solution

The fourth proportional to 30,841.62, 46,248 and 11,117.58 is: 16,671.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,841.62 : 46,248 = 11,117.58 : x
  2. Step 2: Convert to fraction form
    30,841.62/46,248 = 11,117.58/x
  3. Step 3: Cross multiply
    30,841.62x = 46,248 × 11,117.58
  4. Step 4: Simplify right side
    30,841.62x = 514,165,839.84
  5. Step 5: Solve for x
    x = 514,165,839.84/30,841.62
  6. Step 6: Final answer
    x = 16,671.17

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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.