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Finding the Fourth Proportional to 38,987.19, 53,802.23 and 21,082.14

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Solution

The fourth proportional to 38,987.19, 53,802.23 and 21,082.14 is: 29,093.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,987.19 : 53,802.23 = 21,082.14 : x
  2. Step 2: Convert to fraction form
    38,987.19/53,802.23 = 21,082.14/x
  3. Step 3: Cross multiply
    38,987.19x = 53,802.23 × 21,082.14
  4. Step 4: Simplify right side
    38,987.19x = 1,134,266,039.76
  5. Step 5: Solve for x
    x = 1,134,266,039.76/38,987.19
  6. Step 6: Final answer
    x = 29,093.30

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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.