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Finding the Fourth Proportional to 47,477.98, 65,369.64 and 41,808.88

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Solution

The fourth proportional to 47,477.98, 65,369.64 and 41,808.88 is: 57,564.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,477.98 : 65,369.64 = 41,808.88 : x
  2. Step 2: Convert to fraction form
    47,477.98/65,369.64 = 41,808.88/x
  3. Step 3: Cross multiply
    47,477.98x = 65,369.64 × 41,808.88
  4. Step 4: Simplify right side
    47,477.98x = 2,733,031,434.40
  5. Step 5: Solve for x
    x = 2,733,031,434.40/47,477.98
  6. Step 6: Final answer
    x = 57,564.19

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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.