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Finding the Fourth Proportional to 30,683.52, 46,024.56 and 9,907.20

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Solution

The fourth proportional to 30,683.52, 46,024.56 and 9,907.20 is: 14,860.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,683.52 : 46,024.56 = 9,907.20 : x
  2. Step 2: Convert to fraction form
    30,683.52/46,024.56 = 9,907.20/x
  3. Step 3: Cross multiply
    30,683.52x = 46,024.56 × 9,907.20
  4. Step 4: Simplify right side
    30,683.52x = 455,974,520.83
  5. Step 5: Solve for x
    x = 455,974,520.83/30,683.52
  6. Step 6: Final answer
    x = 14,860.57

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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.