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Finding the Fourth Proportional to 89,607.49, 134,416.10 and 23,048.17

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Solution

The fourth proportional to 89,607.49, 134,416.10 and 23,048.17 is: 34,573.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,607.49 : 134,416.10 = 23,048.17 : x
  2. Step 2: Convert to fraction form
    89,607.49/134,416.10 = 23,048.17/x
  3. Step 3: Cross multiply
    89,607.49x = 134,416.10 × 23,048.17
  4. Step 4: Simplify right side
    89,607.49x = 3,098,044,845.12
  5. Step 5: Solve for x
    x = 3,098,044,845.12/89,607.49
  6. Step 6: Final answer
    x = 34,573.50

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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.