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Finding the Fourth Proportional to 84,378.94, 116,445.27 and 46,654.54

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Solution

The fourth proportional to 84,378.94, 116,445.27 and 46,654.54 is: 64,384.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,378.94 : 116,445.27 = 46,654.54 : x
  2. Step 2: Convert to fraction form
    84,378.94/116,445.27 = 46,654.54/x
  3. Step 3: Cross multiply
    84,378.94x = 116,445.27 × 46,654.54
  4. Step 4: Simplify right side
    84,378.94x = 5,432,700,507.03
  5. Step 5: Solve for x
    x = 5,432,700,507.03/84,378.94
  6. Step 6: Final answer
    x = 64,384.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.