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Finding the Fourth Proportional to 30,762.90, 46,062.18 and 19,609.20

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Solution

The fourth proportional to 30,762.90, 46,062.18 and 19,609.20 is: 29,361.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,762.90 : 46,062.18 = 19,609.20 : x
  2. Step 2: Convert to fraction form
    30,762.90/46,062.18 = 19,609.20/x
  3. Step 3: Cross multiply
    30,762.90x = 46,062.18 × 19,609.20
  4. Step 4: Simplify right side
    30,762.90x = 903,242,500.06
  5. Step 5: Solve for x
    x = 903,242,500.06/30,762.90
  6. Step 6: Final answer
    x = 29,361.42

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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.