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Finding the Fourth Proportional to 84,228.16, 116,233.92 and 46,501.60

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Solution

The fourth proportional to 84,228.16, 116,233.92 and 46,501.60 is: 64,171.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,228.16 : 116,233.92 = 46,501.60 : x
  2. Step 2: Convert to fraction form
    84,228.16/116,233.92 = 46,501.60/x
  3. Step 3: Cross multiply
    84,228.16x = 116,233.92 × 46,501.60
  4. Step 4: Simplify right side
    84,228.16x = 5,405,063,254.27
  5. Step 5: Solve for x
    x = 5,405,063,254.27/84,228.16
  6. Step 6: Final answer
    x = 64,171.69

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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.