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Finding the Fourth Proportional to 105,101.24, 144,967.50 and 62,627

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Solution

The fourth proportional to 105,101.24, 144,967.50 and 62,627 is: 86,382.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,101.24 : 144,967.50 = 62,627 : x
  2. Step 2: Convert to fraction form
    105,101.24/144,967.50 = 62,627/x
  3. Step 3: Cross multiply
    105,101.24x = 144,967.50 × 62,627
  4. Step 4: Simplify right side
    105,101.24x = 9,078,879,622.50
  5. Step 5: Solve for x
    x = 9,078,879,622.50/105,101.24
  6. Step 6: Final answer
    x = 86,382.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.