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Finding the Fourth Proportional to 84,507.66, 116,626.50 and 46,784.34

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Solution

The fourth proportional to 84,507.66, 116,626.50 and 46,784.34 is: 64,565.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,507.66 : 116,626.50 = 46,784.34 : x
  2. Step 2: Convert to fraction form
    84,507.66/116,626.50 = 46,784.34/x
  3. Step 3: Cross multiply
    84,507.66x = 116,626.50 × 46,784.34
  4. Step 4: Simplify right side
    84,507.66x = 5,456,293,829.01
  5. Step 5: Solve for x
    x = 5,456,293,829.01/84,507.66
  6. Step 6: Final answer
    x = 64,565.67

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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.