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Finding the Fourth Proportional to 30,460.52, 42,022.32 and 19,122.32

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Solution

The fourth proportional to 30,460.52, 42,022.32 and 19,122.32 is: 26,380.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,460.52 : 42,022.32 = 19,122.32 : x
  2. Step 2: Convert to fraction form
    30,460.52/42,022.32 = 19,122.32/x
  3. Step 3: Cross multiply
    30,460.52x = 42,022.32 × 19,122.32
  4. Step 4: Simplify right side
    30,460.52x = 803,564,250.18
  5. Step 5: Solve for x
    x = 803,564,250.18/30,460.52
  6. Step 6: Final answer
    x = 26,380.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.