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Finding the Fourth Proportional to 38,984.49, 53,795.34 and 23,066.17

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Solution

The fourth proportional to 38,984.49, 53,795.34 and 23,066.17 is: 31,829.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,984.49 : 53,795.34 = 23,066.17 : x
  2. Step 2: Convert to fraction form
    38,984.49/53,795.34 = 23,066.17/x
  3. Step 3: Cross multiply
    38,984.49x = 53,795.34 × 23,066.17
  4. Step 4: Simplify right side
    38,984.49x = 1,240,852,323.16
  5. Step 5: Solve for x
    x = 1,240,852,323.16/38,984.49
  6. Step 6: Final answer
    x = 31,829.38

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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.