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Finding the Fourth Proportional to 82,802.30, 114,282.12 and 48,808.82

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Solution

The fourth proportional to 82,802.30, 114,282.12 and 48,808.82 is: 67,364.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,802.30 : 114,282.12 = 48,808.82 : x
  2. Step 2: Convert to fraction form
    82,802.30/114,282.12 = 48,808.82/x
  3. Step 3: Cross multiply
    82,802.30x = 114,282.12 × 48,808.82
  4. Step 4: Simplify right side
    82,802.30x = 5,577,975,893.04
  5. Step 5: Solve for x
    x = 5,577,975,893.04/82,802.30
  6. Step 6: Final answer
    x = 67,364.99

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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.