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Finding the Fourth Proportional to 89,637.50, 134,456.26 and 27,308

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Solution

The fourth proportional to 89,637.50, 134,456.26 and 27,308 is: 40,962.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,637.50 : 134,456.26 = 27,308 : x
  2. Step 2: Convert to fraction form
    89,637.50/134,456.26 = 27,308/x
  3. Step 3: Cross multiply
    89,637.50x = 134,456.26 × 27,308
  4. Step 4: Simplify right side
    89,637.50x = 3,671,731,548.08
  5. Step 5: Solve for x
    x = 3,671,731,548.08/89,637.50
  6. Step 6: Final answer
    x = 40,962.00

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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.