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Finding the Fourth Proportional to 84,216.30, 116,225.19 and 48,412.86

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Solution

The fourth proportional to 84,216.30, 116,225.19 and 48,412.86 is: 66,813.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,216.30 : 116,225.19 = 48,412.86 : x
  2. Step 2: Convert to fraction form
    84,216.30/116,225.19 = 48,412.86/x
  3. Step 3: Cross multiply
    84,216.30x = 116,225.19 × 48,412.86
  4. Step 4: Simplify right side
    84,216.30x = 5,626,793,851.94
  5. Step 5: Solve for x
    x = 5,626,793,851.94/84,216.30
  6. Step 6: Final answer
    x = 66,813.60

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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.