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Finding the Fourth Proportional to 30,892.80, 46,339.20 and 10,118.40

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Solution

The fourth proportional to 30,892.80, 46,339.20 and 10,118.40 is: 15,177.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,892.80 : 46,339.20 = 10,118.40 : x
  2. Step 2: Convert to fraction form
    30,892.80/46,339.20 = 10,118.40/x
  3. Step 3: Cross multiply
    30,892.80x = 46,339.20 × 10,118.40
  4. Step 4: Simplify right side
    30,892.80x = 468,878,561.28
  5. Step 5: Solve for x
    x = 468,878,561.28/30,892.80
  6. Step 6: Final answer
    x = 15,177.60

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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.