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Finding the Fourth Proportional to 55,698.10, 83,449.91 and 46,397.88

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Solution

The fourth proportional to 55,698.10, 83,449.91 and 46,397.88 is: 69,515.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,698.10 : 83,449.91 = 46,397.88 : x
  2. Step 2: Convert to fraction form
    55,698.10/83,449.91 = 46,397.88/x
  3. Step 3: Cross multiply
    55,698.10x = 83,449.91 × 46,397.88
  4. Step 4: Simplify right side
    55,698.10x = 3,871,899,026.19
  5. Step 5: Solve for x
    x = 3,871,899,026.19/55,698.10
  6. Step 6: Final answer
    x = 69,515.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.