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Finding the Fourth Proportional to 133,689.51, 200,534.27 and 32,487.01

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Solution

The fourth proportional to 133,689.51, 200,534.27 and 32,487.01 is: 48,730.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,689.51 : 200,534.27 = 32,487.01 : x
  2. Step 2: Convert to fraction form
    133,689.51/200,534.27 = 32,487.01/x
  3. Step 3: Cross multiply
    133,689.51x = 200,534.27 × 32,487.01
  4. Step 4: Simplify right side
    133,689.51x = 6,514,758,171.06
  5. Step 5: Solve for x
    x = 6,514,758,171.06/133,689.51
  6. Step 6: Final answer
    x = 48,730.51

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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.