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Finding the Fourth Proportional to 39,456, 59,154.84 and 23,870.16

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Solution

The fourth proportional to 39,456, 59,154.84 and 23,870.16 is: 35,787.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,456 : 59,154.84 = 23,870.16 : x
  2. Step 2: Convert to fraction form
    39,456/59,154.84 = 23,870.16/x
  3. Step 3: Cross multiply
    39,456x = 59,154.84 × 23,870.16
  4. Step 4: Simplify right side
    39,456x = 1,412,035,495.57
  5. Step 5: Solve for x
    x = 1,412,035,495.57/39,456
  6. Step 6: Final answer
    x = 35,787.60

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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.