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Finding the Fourth Proportional to 89,133.86, 133,701.02 and 22,574

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Solution

The fourth proportional to 89,133.86, 133,701.02 and 22,574 is: 33,861.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,133.86 : 133,701.02 = 22,574 : x
  2. Step 2: Convert to fraction form
    89,133.86/133,701.02 = 22,574/x
  3. Step 3: Cross multiply
    89,133.86x = 133,701.02 × 22,574
  4. Step 4: Simplify right side
    89,133.86x = 3,018,166,825.48
  5. Step 5: Solve for x
    x = 3,018,166,825.48/89,133.86
  6. Step 6: Final answer
    x = 33,861.06

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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.