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Finding the Fourth Proportional to 38,871, 53,643.60 and 22,969.08

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Solution

The fourth proportional to 38,871, 53,643.60 and 22,969.08 is: 31,698.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,871 : 53,643.60 = 22,969.08 : x
  2. Step 2: Convert to fraction form
    38,871/53,643.60 = 22,969.08/x
  3. Step 3: Cross multiply
    38,871x = 53,643.60 × 22,969.08
  4. Step 4: Simplify right side
    38,871x = 1,232,144,139.89
  5. Step 5: Solve for x
    x = 1,232,144,139.89/38,871
  6. Step 6: Final answer
    x = 31,698.29

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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.