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Finding the Fourth Proportional to 38,424.84, 53,023.86 and 21,431.58

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Solution

The fourth proportional to 38,424.84, 53,023.86 and 21,431.58 is: 29,574.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,424.84 : 53,023.86 = 21,431.58 : x
  2. Step 2: Convert to fraction form
    38,424.84/53,023.86 = 21,431.58/x
  3. Step 3: Cross multiply
    38,424.84x = 53,023.86 × 21,431.58
  4. Step 4: Simplify right side
    38,424.84x = 1,136,385,097.50
  5. Step 5: Solve for x
    x = 1,136,385,097.50/38,424.84
  6. Step 6: Final answer
    x = 29,574.23

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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.