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Finding the Fourth Proportional to 38,280.16, 52,809.40 and 22,355.16

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Solution

The fourth proportional to 38,280.16, 52,809.40 and 22,355.16 is: 30,840.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,280.16 : 52,809.40 = 22,355.16 : x
  2. Step 2: Convert to fraction form
    38,280.16/52,809.40 = 22,355.16/x
  3. Step 3: Cross multiply
    38,280.16x = 52,809.40 × 22,355.16
  4. Step 4: Simplify right side
    38,280.16x = 1,180,562,416.41
  5. Step 5: Solve for x
    x = 1,180,562,416.41/38,280.16
  6. Step 6: Final answer
    x = 30,840.06

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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.