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Finding the Fourth Proportional to 82,703.89, 114,127.89 and 46,896.31

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Solution

The fourth proportional to 82,703.89, 114,127.89 and 46,896.31 is: 64,714.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,703.89 : 114,127.89 = 46,896.31 : x
  2. Step 2: Convert to fraction form
    82,703.89/114,127.89 = 46,896.31/x
  3. Step 3: Cross multiply
    82,703.89x = 114,127.89 × 46,896.31
  4. Step 4: Simplify right side
    82,703.89x = 5,352,176,909.09
  5. Step 5: Solve for x
    x = 5,352,176,909.09/82,703.89
  6. Step 6: Final answer
    x = 64,714.94

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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.