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Finding the Fourth Proportional to 38,184, 52,693.95 and 21,417

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Solution

The fourth proportional to 38,184, 52,693.95 and 21,417 is: 29,555.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,184 : 52,693.95 = 21,417 : x
  2. Step 2: Convert to fraction form
    38,184/52,693.95 = 21,417/x
  3. Step 3: Cross multiply
    38,184x = 52,693.95 × 21,417
  4. Step 4: Simplify right side
    38,184x = 1,128,546,327.15
  5. Step 5: Solve for x
    x = 1,128,546,327.15/38,184
  6. Step 6: Final answer
    x = 29,555.48

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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.