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Finding the Fourth Proportional to 64,106.98, 88,467.87 and 35,813.14

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Solution

The fourth proportional to 64,106.98, 88,467.87 and 35,813.14 is: 49,422.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,106.98 : 88,467.87 = 35,813.14 : x
  2. Step 2: Convert to fraction form
    64,106.98/88,467.87 = 35,813.14/x
  3. Step 3: Cross multiply
    64,106.98x = 88,467.87 × 35,813.14
  4. Step 4: Simplify right side
    64,106.98x = 3,168,312,213.81
  5. Step 5: Solve for x
    x = 3,168,312,213.81/64,106.98
  6. Step 6: Final answer
    x = 49,422.27

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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.