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Finding the Fourth Proportional to 30,885.48, 46,331.62 and 9,820.59

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Solution

The fourth proportional to 30,885.48, 46,331.62 and 9,820.59 is: 14,731.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,885.48 : 46,331.62 = 9,820.59 : x
  2. Step 2: Convert to fraction form
    30,885.48/46,331.62 = 9,820.59/x
  3. Step 3: Cross multiply
    30,885.48x = 46,331.62 × 9,820.59
  4. Step 4: Simplify right side
    30,885.48x = 455,003,996.71
  5. Step 5: Solve for x
    x = 455,003,996.71/30,885.48
  6. Step 6: Final answer
    x = 14,731.97

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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.