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Finding the Fourth Proportional to 32,238.01, 47,966.98 and 31,434.49

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Solution

The fourth proportional to 32,238.01, 47,966.98 and 31,434.49 is: 46,771.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,238.01 : 47,966.98 = 31,434.49 : x
  2. Step 2: Convert to fraction form
    32,238.01/47,966.98 = 31,434.49/x
  3. Step 3: Cross multiply
    32,238.01x = 47,966.98 × 31,434.49
  4. Step 4: Simplify right side
    32,238.01x = 1,507,817,156.13
  5. Step 5: Solve for x
    x = 1,507,817,156.13/32,238.01
  6. Step 6: Final answer
    x = 46,771.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.