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Finding the Fourth Proportional to 30,678.84, 46,019.28 and 8,490.36

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Solution

The fourth proportional to 30,678.84, 46,019.28 and 8,490.36 is: 12,735.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,678.84 : 46,019.28 = 8,490.36 : x
  2. Step 2: Convert to fraction form
    30,678.84/46,019.28 = 8,490.36/x
  3. Step 3: Cross multiply
    30,678.84x = 46,019.28 × 8,490.36
  4. Step 4: Simplify right side
    30,678.84x = 390,720,254.14
  5. Step 5: Solve for x
    x = 390,720,254.14/30,678.84
  6. Step 6: Final answer
    x = 12,735.82

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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.