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Finding the Fourth Proportional to 99,088.50, 148,648.23 and 32,513.49

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Solution

The fourth proportional to 99,088.50, 148,648.23 and 32,513.49 is: 48,775.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,088.50 : 148,648.23 = 32,513.49 : x
  2. Step 2: Convert to fraction form
    99,088.50/148,648.23 = 32,513.49/x
  3. Step 3: Cross multiply
    99,088.50x = 148,648.23 × 32,513.49
  4. Step 4: Simplify right side
    99,088.50x = 4,833,072,739.62
  5. Step 5: Solve for x
    x = 4,833,072,739.62/99,088.50
  6. Step 6: Final answer
    x = 48,775.31

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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.