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Finding the Fourth Proportional to 98,937.84, 148,420.64 and 32,383.25

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Solution

The fourth proportional to 98,937.84, 148,420.64 and 32,383.25 is: 48,579.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,937.84 : 148,420.64 = 32,383.25 : x
  2. Step 2: Convert to fraction form
    98,937.84/148,420.64 = 32,383.25/x
  3. Step 3: Cross multiply
    98,937.84x = 148,420.64 × 32,383.25
  4. Step 4: Simplify right side
    98,937.84x = 4,806,341,786.26
  5. Step 5: Solve for x
    x = 4,806,341,786.26/98,937.84
  6. Step 6: Final answer
    x = 48,579.41

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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.