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Finding the Fourth Proportional to 82,886.96, 114,384.84 and 45,161.84

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Solution

The fourth proportional to 82,886.96, 114,384.84 and 45,161.84 is: 62,323.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,886.96 : 114,384.84 = 45,161.84 : x
  2. Step 2: Convert to fraction form
    82,886.96/114,384.84 = 45,161.84/x
  3. Step 3: Cross multiply
    82,886.96x = 114,384.84 × 45,161.84
  4. Step 4: Simplify right side
    82,886.96x = 5,165,829,842.51
  5. Step 5: Solve for x
    x = 5,165,829,842.51/82,886.96
  6. Step 6: Final answer
    x = 62,323.79

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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.