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Finding the Fourth Proportional to 30,378.23, 45,565.72 and 10,658.78

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Solution

The fourth proportional to 30,378.23, 45,565.72 and 10,658.78 is: 15,987.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,378.23 : 45,565.72 = 10,658.78 : x
  2. Step 2: Convert to fraction form
    30,378.23/45,565.72 = 10,658.78/x
  3. Step 3: Cross multiply
    30,378.23x = 45,565.72 × 10,658.78
  4. Step 4: Simplify right side
    30,378.23x = 485,674,985.02
  5. Step 5: Solve for x
    x = 485,674,985.02/30,378.23
  6. Step 6: Final answer
    x = 15,987.60

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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.