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Finding the Fourth Proportional to 81,752.40, 122,477.40 and 46,587.60

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Solution

The fourth proportional to 81,752.40, 122,477.40 and 46,587.60 is: 69,795.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,752.40 : 122,477.40 = 46,587.60 : x
  2. Step 2: Convert to fraction form
    81,752.40/122,477.40 = 46,587.60/x
  3. Step 3: Cross multiply
    81,752.40x = 122,477.40 × 46,587.60
  4. Step 4: Simplify right side
    81,752.40x = 5,705,928,120.24
  5. Step 5: Solve for x
    x = 5,705,928,120.24/81,752.40
  6. Step 6: Final answer
    x = 69,795.24

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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.