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Finding the Fourth Proportional to 38,871.72, 53,643.30 and 21,875.40

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Solution

The fourth proportional to 38,871.72, 53,643.30 and 21,875.40 is: 30,188.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,871.72 : 53,643.30 = 21,875.40 : x
  2. Step 2: Convert to fraction form
    38,871.72/53,643.30 = 21,875.40/x
  3. Step 3: Cross multiply
    38,871.72x = 53,643.30 × 21,875.40
  4. Step 4: Simplify right side
    38,871.72x = 1,173,468,644.82
  5. Step 5: Solve for x
    x = 1,173,468,644.82/38,871.72
  6. Step 6: Final answer
    x = 30,188.24

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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.