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Finding the Fourth Proportional to 30,856.42, 46,275.04 and 11,132.43

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Solution

The fourth proportional to 30,856.42, 46,275.04 and 11,132.43 is: 16,695.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,856.42 : 46,275.04 = 11,132.43 : x
  2. Step 2: Convert to fraction form
    30,856.42/46,275.04 = 11,132.43/x
  3. Step 3: Cross multiply
    30,856.42x = 46,275.04 × 11,132.43
  4. Step 4: Simplify right side
    30,856.42x = 515,153,643.55
  5. Step 5: Solve for x
    x = 515,153,643.55/30,856.42
  6. Step 6: Final answer
    x = 16,695.19

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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.