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Finding the Fourth Proportional to 28,030, 38,681.72 and 19,544.56

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Solution

The fourth proportional to 28,030, 38,681.72 and 19,544.56 is: 26,971.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,030 : 38,681.72 = 19,544.56 : x
  2. Step 2: Convert to fraction form
    28,030/38,681.72 = 19,544.56/x
  3. Step 3: Cross multiply
    28,030x = 38,681.72 × 19,544.56
  4. Step 4: Simplify right side
    28,030x = 756,017,197.44
  5. Step 5: Solve for x
    x = 756,017,197.44/28,030
  6. Step 6: Final answer
    x = 26,971.72

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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.