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Finding the Fourth Proportional to 66,113.96, 99,143.74 and 32,821.80

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Solution

The fourth proportional to 66,113.96, 99,143.74 and 32,821.80 is: 49,219.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,113.96 : 99,143.74 = 32,821.80 : x
  2. Step 2: Convert to fraction form
    66,113.96/99,143.74 = 32,821.80/x
  3. Step 3: Cross multiply
    66,113.96x = 99,143.74 × 32,821.80
  4. Step 4: Simplify right side
    66,113.96x = 3,254,076,005.53
  5. Step 5: Solve for x
    x = 3,254,076,005.53/66,113.96
  6. Step 6: Final answer
    x = 49,219.20

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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.