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Finding the Fourth Proportional to 105,699.84, 145,865.76 and 57,952.20

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Solution

The fourth proportional to 105,699.84, 145,865.76 and 57,952.20 is: 79,974.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,699.84 : 145,865.76 = 57,952.20 : x
  2. Step 2: Convert to fraction form
    105,699.84/145,865.76 = 57,952.20/x
  3. Step 3: Cross multiply
    105,699.84x = 145,865.76 × 57,952.20
  4. Step 4: Simplify right side
    105,699.84x = 8,453,241,696.67
  5. Step 5: Solve for x
    x = 8,453,241,696.67/105,699.84
  6. Step 6: Final answer
    x = 79,974.03

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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.