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Finding the Fourth Proportional to 38,820.51, 53,574.20 and 21,830.10

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Solution

The fourth proportional to 38,820.51, 53,574.20 and 21,830.10 is: 30,126.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,820.51 : 53,574.20 = 21,830.10 : x
  2. Step 2: Convert to fraction form
    38,820.51/53,574.20 = 21,830.10/x
  3. Step 3: Cross multiply
    38,820.51x = 53,574.20 × 21,830.10
  4. Step 4: Simplify right side
    38,820.51x = 1,169,530,143.42
  5. Step 5: Solve for x
    x = 1,169,530,143.42/38,820.51
  6. Step 6: Final answer
    x = 30,126.60

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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.