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Finding the Fourth Proportional to 73,564.64, 110,347.20 and 48,762.20

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Solution

The fourth proportional to 73,564.64, 110,347.20 and 48,762.20 is: 73,143.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,564.64 : 110,347.20 = 48,762.20 : x
  2. Step 2: Convert to fraction form
    73,564.64/110,347.20 = 48,762.20/x
  3. Step 3: Cross multiply
    73,564.64x = 110,347.20 × 48,762.20
  4. Step 4: Simplify right side
    73,564.64x = 5,380,772,235.84
  5. Step 5: Solve for x
    x = 5,380,772,235.84/73,564.64
  6. Step 6: Final answer
    x = 73,143.46

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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.