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Finding the Fourth Proportional to 72,772.19, 100,417.50 and 40,940.41

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Solution

The fourth proportional to 72,772.19, 100,417.50 and 40,940.41 is: 56,493.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,772.19 : 100,417.50 = 40,940.41 : x
  2. Step 2: Convert to fraction form
    72,772.19/100,417.50 = 40,940.41/x
  3. Step 3: Cross multiply
    72,772.19x = 100,417.50 × 40,940.41
  4. Step 4: Simplify right side
    72,772.19x = 4,111,133,370.13
  5. Step 5: Solve for x
    x = 4,111,133,370.13/72,772.19
  6. Step 6: Final answer
    x = 56,493.19

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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.