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Finding the Fourth Proportional to 97,965.84, 147,014.31 and 35,636.34

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Solution

The fourth proportional to 97,965.84, 147,014.31 and 35,636.34 is: 53,478.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,965.84 : 147,014.31 = 35,636.34 : x
  2. Step 2: Convert to fraction form
    97,965.84/147,014.31 = 35,636.34/x
  3. Step 3: Cross multiply
    97,965.84x = 147,014.31 × 35,636.34
  4. Step 4: Simplify right side
    97,965.84x = 5,239,051,936.03
  5. Step 5: Solve for x
    x = 5,239,051,936.03/97,965.84
  6. Step 6: Final answer
    x = 53,478.35

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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.