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Finding the Fourth Proportional to 30,468.44, 45,685.91 and 9,402.74

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Solution

The fourth proportional to 30,468.44, 45,685.91 and 9,402.74 is: 14,098.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,468.44 : 45,685.91 = 9,402.74 : x
  2. Step 2: Convert to fraction form
    30,468.44/45,685.91 = 9,402.74/x
  3. Step 3: Cross multiply
    30,468.44x = 45,685.91 × 9,402.74
  4. Step 4: Simplify right side
    30,468.44x = 429,572,457.95
  5. Step 5: Solve for x
    x = 429,572,457.95/30,468.44
  6. Step 6: Final answer
    x = 14,098.93

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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.