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Finding the Fourth Proportional to 84,112, 116,074.56 and 46,385.92

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Solution

The fourth proportional to 84,112, 116,074.56 and 46,385.92 is: 64,012.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,112 : 116,074.56 = 46,385.92 : x
  2. Step 2: Convert to fraction form
    84,112/116,074.56 = 46,385.92/x
  3. Step 3: Cross multiply
    84,112x = 116,074.56 × 46,385.92
  4. Step 4: Simplify right side
    84,112x = 5,384,225,254.20
  5. Step 5: Solve for x
    x = 5,384,225,254.20/84,112
  6. Step 6: Final answer
    x = 64,012.57

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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.