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Finding the Fourth Proportional to 30,681.48, 46,022.34 and 9,334.44

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Solution

The fourth proportional to 30,681.48, 46,022.34 and 9,334.44 is: 14,001.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,681.48 : 46,022.34 = 9,334.44 : x
  2. Step 2: Convert to fraction form
    30,681.48/46,022.34 = 9,334.44/x
  3. Step 3: Cross multiply
    30,681.48x = 46,022.34 × 9,334.44
  4. Step 4: Simplify right side
    30,681.48x = 429,592,771.39
  5. Step 5: Solve for x
    x = 429,592,771.39/30,681.48
  6. Step 6: Final answer
    x = 14,001.70

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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.