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Finding the Fourth Proportional to 97,775.26, 134,929.86 and 53,063.26

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Solution

The fourth proportional to 97,775.26, 134,929.86 and 53,063.26 is: 73,227.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,775.26 : 134,929.86 = 53,063.26 : x
  2. Step 2: Convert to fraction form
    97,775.26/134,929.86 = 53,063.26/x
  3. Step 3: Cross multiply
    97,775.26x = 134,929.86 × 53,063.26
  4. Step 4: Simplify right side
    97,775.26x = 7,159,818,242.94
  5. Step 5: Solve for x
    x = 7,159,818,242.94/97,775.26
  6. Step 6: Final answer
    x = 73,227.30

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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.