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Finding the Fourth Proportional to 117,048, 161,526.24 and 64,056

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Solution

The fourth proportional to 117,048, 161,526.24 and 64,056 is: 88,397.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,048 : 161,526.24 = 64,056 : x
  2. Step 2: Convert to fraction form
    117,048/161,526.24 = 64,056/x
  3. Step 3: Cross multiply
    117,048x = 161,526.24 × 64,056
  4. Step 4: Simplify right side
    117,048x = 10,346,724,829.44
  5. Step 5: Solve for x
    x = 10,346,724,829.44/117,048
  6. Step 6: Final answer
    x = 88,397.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.