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Finding the Fourth Proportional to 84,549.85, 116,678.74 and 46,824.07

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Solution

The fourth proportional to 84,549.85, 116,678.74 and 46,824.07 is: 64,617.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,549.85 : 116,678.74 = 46,824.07 : x
  2. Step 2: Convert to fraction form
    84,549.85/116,678.74 = 46,824.07/x
  3. Step 3: Cross multiply
    84,549.85x = 116,678.74 × 46,824.07
  4. Step 4: Simplify right side
    84,549.85x = 5,463,373,489.27
  5. Step 5: Solve for x
    x = 5,463,373,489.27/84,549.85
  6. Step 6: Final answer
    x = 64,617.19

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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.