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Finding the Fourth Proportional to 82,823.60, 114,297.04 and 45,098.16

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Solution

The fourth proportional to 82,823.60, 114,297.04 and 45,098.16 is: 62,235.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,823.60 : 114,297.04 = 45,098.16 : x
  2. Step 2: Convert to fraction form
    82,823.60/114,297.04 = 45,098.16/x
  3. Step 3: Cross multiply
    82,823.60x = 114,297.04 × 45,098.16
  4. Step 4: Simplify right side
    82,823.60x = 5,154,586,197.45
  5. Step 5: Solve for x
    x = 5,154,586,197.45/82,823.60
  6. Step 6: Final answer
    x = 62,235.72

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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.