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Finding the Fourth Proportional to 30,684.92, 46,017.42 and 9,903.56

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Solution

The fourth proportional to 30,684.92, 46,017.42 and 9,903.56 is: 14,852.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,684.92 : 46,017.42 = 9,903.56 : x
  2. Step 2: Convert to fraction form
    30,684.92/46,017.42 = 9,903.56/x
  3. Step 3: Cross multiply
    30,684.92x = 46,017.42 × 9,903.56
  4. Step 4: Simplify right side
    30,684.92x = 455,736,280.02
  5. Step 5: Solve for x
    x = 455,736,280.02/30,684.92
  6. Step 6: Final answer
    x = 14,852.13

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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.