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Finding the Fourth Proportional to 82,987.84, 114,522.96 and 45,262

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Solution

The fourth proportional to 82,987.84, 114,522.96 and 45,262 is: 62,461.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,987.84 : 114,522.96 = 45,262 : x
  2. Step 2: Convert to fraction form
    82,987.84/114,522.96 = 45,262/x
  3. Step 3: Cross multiply
    82,987.84x = 114,522.96 × 45,262
  4. Step 4: Simplify right side
    82,987.84x = 5,183,538,215.52
  5. Step 5: Solve for x
    x = 5,183,538,215.52/82,987.84
  6. Step 6: Final answer
    x = 62,461.42

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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.