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Finding the Fourth Proportional to 30,874.90, 46,316.27 and 9,807.42

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Solution

The fourth proportional to 30,874.90, 46,316.27 and 9,807.42 is: 14,712.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,874.90 : 46,316.27 = 9,807.42 : x
  2. Step 2: Convert to fraction form
    30,874.90/46,316.27 = 9,807.42/x
  3. Step 3: Cross multiply
    30,874.90x = 46,316.27 × 9,807.42
  4. Step 4: Simplify right side
    30,874.90x = 454,243,088.20
  5. Step 5: Solve for x
    x = 454,243,088.20/30,874.90
  6. Step 6: Final answer
    x = 14,712.38

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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.