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Finding the Fourth Proportional to 82,818.66, 114,292.50 and 46,526.46

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Solution

The fourth proportional to 82,818.66, 114,292.50 and 46,526.46 is: 64,208.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,818.66 : 114,292.50 = 46,526.46 : x
  2. Step 2: Convert to fraction form
    82,818.66/114,292.50 = 46,526.46/x
  3. Step 3: Cross multiply
    82,818.66x = 114,292.50 × 46,526.46
  4. Step 4: Simplify right side
    82,818.66x = 5,317,625,429.55
  5. Step 5: Solve for x
    x = 5,317,625,429.55/82,818.66
  6. Step 6: Final answer
    x = 64,208.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.