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Finding the Fourth Proportional to 46,153.62, 69,186.66 and 14,967

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Solution

The fourth proportional to 46,153.62, 69,186.66 and 14,967 is: 22,436.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,153.62 : 69,186.66 = 14,967 : x
  2. Step 2: Convert to fraction form
    46,153.62/69,186.66 = 14,967/x
  3. Step 3: Cross multiply
    46,153.62x = 69,186.66 × 14,967
  4. Step 4: Simplify right side
    46,153.62x = 1,035,516,740.22
  5. Step 5: Solve for x
    x = 1,035,516,740.22/46,153.62
  6. Step 6: Final answer
    x = 22,436.31

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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.