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Finding the Fourth Proportional to 30,032.37, 41,443.37 and 16,420.16

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Solution

The fourth proportional to 30,032.37, 41,443.37 and 16,420.16 is: 22,659.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,032.37 : 41,443.37 = 16,420.16 : x
  2. Step 2: Convert to fraction form
    30,032.37/41,443.37 = 16,420.16/x
  3. Step 3: Cross multiply
    30,032.37x = 41,443.37 × 16,420.16
  4. Step 4: Simplify right side
    30,032.37x = 680,506,756.57
  5. Step 5: Solve for x
    x = 680,506,756.57/30,032.37
  6. Step 6: Final answer
    x = 22,659.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.