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Finding the Fourth Proportional to 47,708.76, 65,762.64 and 36,341.76

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Solution

The fourth proportional to 47,708.76, 65,762.64 and 36,341.76 is: 50,094.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,708.76 : 65,762.64 = 36,341.76 : x
  2. Step 2: Convert to fraction form
    47,708.76/65,762.64 = 36,341.76/x
  3. Step 3: Cross multiply
    47,708.76x = 65,762.64 × 36,341.76
  4. Step 4: Simplify right side
    47,708.76x = 2,389,930,079.85
  5. Step 5: Solve for x
    x = 2,389,930,079.85/47,708.76
  6. Step 6: Final answer
    x = 50,094.16

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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.