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Finding the Fourth Proportional to 39,878.40, 55,032.82 and 21,973.22

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Solution

The fourth proportional to 39,878.40, 55,032.82 and 21,973.22 is: 30,323.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,878.40 : 55,032.82 = 21,973.22 : x
  2. Step 2: Convert to fraction form
    39,878.40/55,032.82 = 21,973.22/x
  3. Step 3: Cross multiply
    39,878.40x = 55,032.82 × 21,973.22
  4. Step 4: Simplify right side
    39,878.40x = 1,209,248,261.08
  5. Step 5: Solve for x
    x = 1,209,248,261.08/39,878.40
  6. Step 6: Final answer
    x = 30,323.39

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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.