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Finding the Fourth Proportional to 99,648.15, 149,478.30 and 33,094.11

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Solution

The fourth proportional to 99,648.15, 149,478.30 and 33,094.11 is: 49,643.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,648.15 : 149,478.30 = 33,094.11 : x
  2. Step 2: Convert to fraction form
    99,648.15/149,478.30 = 33,094.11/x
  3. Step 3: Cross multiply
    99,648.15x = 149,478.30 × 33,094.11
  4. Step 4: Simplify right side
    99,648.15x = 4,946,851,302.81
  5. Step 5: Solve for x
    x = 4,946,851,302.81/99,648.15
  6. Step 6: Final answer
    x = 49,643.18

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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.