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Finding the Fourth Proportional to 109,561.84, 164,631.74 and 58,998.25

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Solution

The fourth proportional to 109,561.84, 164,631.74 and 58,998.25 is: 88,652.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,561.84 : 164,631.74 = 58,998.25 : x
  2. Step 2: Convert to fraction form
    109,561.84/164,631.74 = 58,998.25/x
  3. Step 3: Cross multiply
    109,561.84x = 164,631.74 × 58,998.25
  4. Step 4: Simplify right side
    109,561.84x = 9,712,984,554.46
  5. Step 5: Solve for x
    x = 9,712,984,554.46/109,561.84
  6. Step 6: Final answer
    x = 88,652.99

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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.