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Finding the Fourth Proportional to 65,065.50, 97,612.02 and 36,999

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Solution

The fourth proportional to 65,065.50, 97,612.02 and 36,999 is: 55,506.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,065.50 : 97,612.02 = 36,999 : x
  2. Step 2: Convert to fraction form
    65,065.50/97,612.02 = 36,999/x
  3. Step 3: Cross multiply
    65,065.50x = 97,612.02 × 36,999
  4. Step 4: Simplify right side
    65,065.50x = 3,611,547,127.98
  5. Step 5: Solve for x
    x = 3,611,547,127.98/65,065.50
  6. Step 6: Final answer
    x = 55,506.33

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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.