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Finding the Fourth Proportional to 30,809.40, 46,214.10 and 10,032.90

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Solution

The fourth proportional to 30,809.40, 46,214.10 and 10,032.90 is: 15,049.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,809.40 : 46,214.10 = 10,032.90 : x
  2. Step 2: Convert to fraction form
    30,809.40/46,214.10 = 10,032.90/x
  3. Step 3: Cross multiply
    30,809.40x = 46,214.10 × 10,032.90
  4. Step 4: Simplify right side
    30,809.40x = 463,661,443.89
  5. Step 5: Solve for x
    x = 463,661,443.89/30,809.40
  6. Step 6: Final answer
    x = 15,049.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.