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Finding the Fourth Proportional to 30,801.60, 46,202.40 and 10,027.20

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Solution

The fourth proportional to 30,801.60, 46,202.40 and 10,027.20 is: 15,040.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,801.60 : 46,202.40 = 10,027.20 : x
  2. Step 2: Convert to fraction form
    30,801.60/46,202.40 = 10,027.20/x
  3. Step 3: Cross multiply
    30,801.60x = 46,202.40 × 10,027.20
  4. Step 4: Simplify right side
    30,801.60x = 463,280,705.28
  5. Step 5: Solve for x
    x = 463,280,705.28/30,801.60
  6. Step 6: Final answer
    x = 15,040.80

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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.