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Finding the Fourth Proportional to 30,138.61, 45,216.74 and 13,494.93

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Solution

The fourth proportional to 30,138.61, 45,216.74 and 13,494.93 is: 20,246.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,138.61 : 45,216.74 = 13,494.93 : x
  2. Step 2: Convert to fraction form
    30,138.61/45,216.74 = 13,494.93/x
  3. Step 3: Cross multiply
    30,138.61x = 45,216.74 × 13,494.93
  4. Step 4: Simplify right side
    30,138.61x = 610,196,854.17
  5. Step 5: Solve for x
    x = 610,196,854.17/30,138.61
  6. Step 6: Final answer
    x = 20,246.35

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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.