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Finding the Fourth Proportional to 117,646.88, 176,548.10 and 55,322.24

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Solution

The fourth proportional to 117,646.88, 176,548.10 and 55,322.24 is: 83,019.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,646.88 : 176,548.10 = 55,322.24 : x
  2. Step 2: Convert to fraction form
    117,646.88/176,548.10 = 55,322.24/x
  3. Step 3: Cross multiply
    117,646.88x = 176,548.10 × 55,322.24
  4. Step 4: Simplify right side
    117,646.88x = 9,767,035,200.39
  5. Step 5: Solve for x
    x = 9,767,035,200.39/117,646.88
  6. Step 6: Final answer
    x = 83,019.93

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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.