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Finding the Fourth Proportional to 30,488.56, 45,701.48 and 13,860.16

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Solution

The fourth proportional to 30,488.56, 45,701.48 and 13,860.16 is: 20,775.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,488.56 : 45,701.48 = 13,860.16 : x
  2. Step 2: Convert to fraction form
    30,488.56/45,701.48 = 13,860.16/x
  3. Step 3: Cross multiply
    30,488.56x = 45,701.48 × 13,860.16
  4. Step 4: Simplify right side
    30,488.56x = 633,429,825.04
  5. Step 5: Solve for x
    x = 633,429,825.04/30,488.56
  6. Step 6: Final answer
    x = 20,775.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.