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Finding the Fourth Proportional to 82,820.52, 114,292.58 and 45,095

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Solution

The fourth proportional to 82,820.52, 114,292.58 and 45,095 is: 62,231.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,820.52 : 114,292.58 = 45,095 : x
  2. Step 2: Convert to fraction form
    82,820.52/114,292.58 = 45,095/x
  3. Step 3: Cross multiply
    82,820.52x = 114,292.58 × 45,095
  4. Step 4: Simplify right side
    82,820.52x = 5,154,023,895.10
  5. Step 5: Solve for x
    x = 5,154,023,895.10/82,820.52
  6. Step 6: Final answer
    x = 62,231.24

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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.