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Finding the Fourth Proportional to 31,397.48, 47,281.93 and 22,693.22

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Solution

The fourth proportional to 31,397.48, 47,281.93 and 22,693.22 is: 34,174.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,397.48 : 47,281.93 = 22,693.22 : x
  2. Step 2: Convert to fraction form
    31,397.48/47,281.93 = 22,693.22/x
  3. Step 3: Cross multiply
    31,397.48x = 47,281.93 × 22,693.22
  4. Step 4: Simplify right side
    31,397.48x = 1,072,979,239.51
  5. Step 5: Solve for x
    x = 1,072,979,239.51/31,397.48
  6. Step 6: Final answer
    x = 34,174.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.