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Finding the Fourth Proportional to 82,888.68, 114,352.14 and 57,752.76

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Solution

The fourth proportional to 82,888.68, 114,352.14 and 57,752.76 is: 79,674.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,888.68 : 114,352.14 = 57,752.76 : x
  2. Step 2: Convert to fraction form
    82,888.68/114,352.14 = 57,752.76/x
  3. Step 3: Cross multiply
    82,888.68x = 114,352.14 × 57,752.76
  4. Step 4: Simplify right side
    82,888.68x = 6,604,151,696.91
  5. Step 5: Solve for x
    x = 6,604,151,696.91/82,888.68
  6. Step 6: Final answer
    x = 79,674.95

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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.