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Finding the Fourth Proportional to 70,899.71, 97,824.51 and 46,698.12

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Solution

The fourth proportional to 70,899.71, 97,824.51 and 46,698.12 is: 64,432.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,899.71 : 97,824.51 = 46,698.12 : x
  2. Step 2: Convert to fraction form
    70,899.71/97,824.51 = 46,698.12/x
  3. Step 3: Cross multiply
    70,899.71x = 97,824.51 × 46,698.12
  4. Step 4: Simplify right side
    70,899.71x = 4,568,220,706.92
  5. Step 5: Solve for x
    x = 4,568,220,706.92/70,899.71
  6. Step 6: Final answer
    x = 64,432.15

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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.