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Finding the Fourth Proportional to 46,486, 69,730.66 and 14,891.96

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Solution

The fourth proportional to 46,486, 69,730.66 and 14,891.96 is: 22,338.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,486 : 69,730.66 = 14,891.96 : x
  2. Step 2: Convert to fraction form
    46,486/69,730.66 = 14,891.96/x
  3. Step 3: Cross multiply
    46,486x = 69,730.66 × 14,891.96
  4. Step 4: Simplify right side
    46,486x = 1,038,426,199.49
  5. Step 5: Solve for x
    x = 1,038,426,199.49/46,486
  6. Step 6: Final answer
    x = 22,338.47

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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.