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Finding the Fourth Proportional to 75,407.92, 113,113.50 and 22,817.32

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Solution

The fourth proportional to 75,407.92, 113,113.50 and 22,817.32 is: 34,226.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,407.92 : 113,113.50 = 22,817.32 : x
  2. Step 2: Convert to fraction form
    75,407.92/113,113.50 = 22,817.32/x
  3. Step 3: Cross multiply
    75,407.92x = 113,113.50 × 22,817.32
  4. Step 4: Simplify right side
    75,407.92x = 2,580,946,925.82
  5. Step 5: Solve for x
    x = 2,580,946,925.82/75,407.92
  6. Step 6: Final answer
    x = 34,226.47

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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.