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Finding the Fourth Proportional to 29,510.50, 40,724.49 and 16,262.50

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Solution

The fourth proportional to 29,510.50, 40,724.49 and 16,262.50 is: 22,442.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,510.50 : 40,724.49 = 16,262.50 : x
  2. Step 2: Convert to fraction form
    29,510.50/40,724.49 = 16,262.50/x
  3. Step 3: Cross multiply
    29,510.50x = 40,724.49 × 16,262.50
  4. Step 4: Simplify right side
    29,510.50x = 662,282,018.63
  5. Step 5: Solve for x
    x = 662,282,018.63/29,510.50
  6. Step 6: Final answer
    x = 22,442.25

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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.