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Finding the Fourth Proportional to 29,745.84, 40,970.43 and 22,167.93

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Solution

The fourth proportional to 29,745.84, 40,970.43 and 22,167.93 is: 30,533.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,745.84 : 40,970.43 = 22,167.93 : x
  2. Step 2: Convert to fraction form
    29,745.84/40,970.43 = 22,167.93/x
  3. Step 3: Cross multiply
    29,745.84x = 40,970.43 × 22,167.93
  4. Step 4: Simplify right side
    29,745.84x = 908,229,624.31
  5. Step 5: Solve for x
    x = 908,229,624.31/29,745.84
  6. Step 6: Final answer
    x = 30,533.00

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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.