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Finding the Fourth Proportional to 82,613.84, 114,006.69 and 46,803.77

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Solution

The fourth proportional to 82,613.84, 114,006.69 and 46,803.77 is: 64,588.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,613.84 : 114,006.69 = 46,803.77 : x
  2. Step 2: Convert to fraction form
    82,613.84/114,006.69 = 46,803.77/x
  3. Step 3: Cross multiply
    82,613.84x = 114,006.69 × 46,803.77
  4. Step 4: Simplify right side
    82,613.84x = 5,335,942,327.19
  5. Step 5: Solve for x
    x = 5,335,942,327.19/82,613.84
  6. Step 6: Final answer
    x = 64,588.97

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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.