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Finding the Fourth Proportional to 29,705.40, 40,959.54 and 23,733

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Solution

The fourth proportional to 29,705.40, 40,959.54 and 23,733 is: 32,724.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,705.40 : 40,959.54 = 23,733 : x
  2. Step 2: Convert to fraction form
    29,705.40/40,959.54 = 23,733/x
  3. Step 3: Cross multiply
    29,705.40x = 40,959.54 × 23,733
  4. Step 4: Simplify right side
    29,705.40x = 972,092,762.82
  5. Step 5: Solve for x
    x = 972,092,762.82/29,705.40
  6. Step 6: Final answer
    x = 32,724.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.