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Finding the Fourth Proportional to 82,965.47, 114,492.42 and 45,239.72

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Solution

The fourth proportional to 82,965.47, 114,492.42 and 45,239.72 is: 62,430.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,965.47 : 114,492.42 = 45,239.72 : x
  2. Step 2: Convert to fraction form
    82,965.47/114,492.42 = 45,239.72/x
  3. Step 3: Cross multiply
    82,965.47x = 114,492.42 × 45,239.72
  4. Step 4: Simplify right side
    82,965.47x = 5,179,604,450.46
  5. Step 5: Solve for x
    x = 5,179,604,450.46/82,965.47
  6. Step 6: Final answer
    x = 62,430.85

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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.