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Finding the Fourth Proportional to 76,652.80, 114,829.76 and 43,271.92

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Solution

The fourth proportional to 76,652.80, 114,829.76 and 43,271.92 is: 64,823.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,652.80 : 114,829.76 = 43,271.92 : x
  2. Step 2: Convert to fraction form
    76,652.80/114,829.76 = 43,271.92/x
  3. Step 3: Cross multiply
    76,652.80x = 114,829.76 × 43,271.92
  4. Step 4: Simplify right side
    76,652.80x = 4,968,904,188.34
  5. Step 5: Solve for x
    x = 4,968,904,188.34/76,652.80
  6. Step 6: Final answer
    x = 64,823.52

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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.