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Finding the Fourth Proportional to 105,027.45, 144,932.10 and 59,699.13

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Solution

The fourth proportional to 105,027.45, 144,932.10 and 59,699.13 is: 82,381.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,027.45 : 144,932.10 = 59,699.13 : x
  2. Step 2: Convert to fraction form
    105,027.45/144,932.10 = 59,699.13/x
  3. Step 3: Cross multiply
    105,027.45x = 144,932.10 × 59,699.13
  4. Step 4: Simplify right side
    105,027.45x = 8,652,320,279.07
  5. Step 5: Solve for x
    x = 8,652,320,279.07/105,027.45
  6. Step 6: Final answer
    x = 82,381.51

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1.5x scale

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.