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Finding the Fourth Proportional to 99,684.30, 149,541.30 and 35,637.60

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Solution

The fourth proportional to 99,684.30, 149,541.30 and 35,637.60 is: 53,461.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,684.30 : 149,541.30 = 35,637.60 : x
  2. Step 2: Convert to fraction form
    99,684.30/149,541.30 = 35,637.60/x
  3. Step 3: Cross multiply
    99,684.30x = 149,541.30 × 35,637.60
  4. Step 4: Simplify right side
    99,684.30x = 5,329,293,032.88
  5. Step 5: Solve for x
    x = 5,329,293,032.88/99,684.30
  6. Step 6: Final answer
    x = 53,461.71

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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.