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Finding the Fourth Proportional to 30,812.60, 46,218.90 and 10,038.20

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Solution

The fourth proportional to 30,812.60, 46,218.90 and 10,038.20 is: 15,057.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,812.60 : 46,218.90 = 10,038.20 : x
  2. Step 2: Convert to fraction form
    30,812.60/46,218.90 = 10,038.20/x
  3. Step 3: Cross multiply
    30,812.60x = 46,218.90 × 10,038.20
  4. Step 4: Simplify right side
    30,812.60x = 463,954,561.98
  5. Step 5: Solve for x
    x = 463,954,561.98/30,812.60
  6. Step 6: Final answer
    x = 15,057.30

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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.