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Finding the Fourth Proportional to 47,762.88, 65,893.14 and 30,764.22

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Solution

The fourth proportional to 47,762.88, 65,893.14 and 30,764.22 is: 42,441.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,762.88 : 65,893.14 = 30,764.22 : x
  2. Step 2: Convert to fraction form
    47,762.88/65,893.14 = 30,764.22/x
  3. Step 3: Cross multiply
    47,762.88x = 65,893.14 × 30,764.22
  4. Step 4: Simplify right side
    47,762.88x = 2,027,151,055.45
  5. Step 5: Solve for x
    x = 2,027,151,055.45/47,762.88
  6. Step 6: Final answer
    x = 42,441.98

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1.5x scale

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.