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Finding the Fourth Proportional to 82,700.68, 114,124.50 and 46,893.96

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Solution

The fourth proportional to 82,700.68, 114,124.50 and 46,893.96 is: 64,712.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,700.68 : 114,124.50 = 46,893.96 : x
  2. Step 2: Convert to fraction form
    82,700.68/114,124.50 = 46,893.96/x
  3. Step 3: Cross multiply
    82,700.68x = 114,124.50 × 46,893.96
  4. Step 4: Simplify right side
    82,700.68x = 5,351,749,738.02
  5. Step 5: Solve for x
    x = 5,351,749,738.02/82,700.68
  6. Step 6: Final answer
    x = 64,712.28

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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.