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Finding the Fourth Proportional to 30,862.80, 46,315.80 and 19,796.40

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Solution

The fourth proportional to 30,862.80, 46,315.80 and 19,796.40 is: 29,708.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,862.80 : 46,315.80 = 19,796.40 : x
  2. Step 2: Convert to fraction form
    30,862.80/46,315.80 = 19,796.40/x
  3. Step 3: Cross multiply
    30,862.80x = 46,315.80 × 19,796.40
  4. Step 4: Simplify right side
    30,862.80x = 916,886,103.12
  5. Step 5: Solve for x
    x = 916,886,103.12/30,862.80
  6. Step 6: Final answer
    x = 29,708.45

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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.