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Finding the Fourth Proportional to 75,435.40, 113,124.30 and 22,827.40

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Solution

The fourth proportional to 75,435.40, 113,124.30 and 22,827.40 is: 34,232.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,435.40 : 113,124.30 = 22,827.40 : x
  2. Step 2: Convert to fraction form
    75,435.40/113,124.30 = 22,827.40/x
  3. Step 3: Cross multiply
    75,435.40x = 113,124.30 × 22,827.40
  4. Step 4: Simplify right side
    75,435.40x = 2,582,333,645.82
  5. Step 5: Solve for x
    x = 2,582,333,645.82/75,435.40
  6. Step 6: Final answer
    x = 34,232.38

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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.