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Finding the Fourth Proportional to 66,655.64, 99,946.74 and 22,259

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Solution

The fourth proportional to 66,655.64, 99,946.74 and 22,259 is: 33,376.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,655.64 : 99,946.74 = 22,259 : x
  2. Step 2: Convert to fraction form
    66,655.64/99,946.74 = 22,259/x
  3. Step 3: Cross multiply
    66,655.64x = 99,946.74 × 22,259
  4. Step 4: Simplify right side
    66,655.64x = 2,224,714,485.66
  5. Step 5: Solve for x
    x = 2,224,714,485.66/66,655.64
  6. Step 6: Final answer
    x = 33,376.24

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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.