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Finding the Fourth Proportional to 66,202.64, 99,303.08 and 16,283.16

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Solution

The fourth proportional to 66,202.64, 99,303.08 and 16,283.16 is: 24,424.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,202.64 : 99,303.08 = 16,283.16 : x
  2. Step 2: Convert to fraction form
    66,202.64/99,303.08 = 16,283.16/x
  3. Step 3: Cross multiply
    66,202.64x = 99,303.08 × 16,283.16
  4. Step 4: Simplify right side
    66,202.64x = 1,616,967,940.13
  5. Step 5: Solve for x
    x = 1,616,967,940.13/66,202.64
  6. Step 6: Final answer
    x = 24,424.52

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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.