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Finding the Fourth Proportional to 40,887.84, 61,285.38 and 18,416.93

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Solution

The fourth proportional to 40,887.84, 61,285.38 and 18,416.93 is: 27,604.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,887.84 : 61,285.38 = 18,416.93 : x
  2. Step 2: Convert to fraction form
    40,887.84/61,285.38 = 18,416.93/x
  3. Step 3: Cross multiply
    40,887.84x = 61,285.38 × 18,416.93
  4. Step 4: Simplify right side
    40,887.84x = 1,128,688,647.75
  5. Step 5: Solve for x
    x = 1,128,688,647.75/40,887.84
  6. Step 6: Final answer
    x = 27,604.50

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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.