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Finding the Fourth Proportional to 61,533.54, 84,913.65 and 34,675.83

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Solution

The fourth proportional to 61,533.54, 84,913.65 and 34,675.83 is: 47,851.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,533.54 : 84,913.65 = 34,675.83 : x
  2. Step 2: Convert to fraction form
    61,533.54/84,913.65 = 34,675.83/x
  3. Step 3: Cross multiply
    61,533.54x = 84,913.65 × 34,675.83
  4. Step 4: Simplify right side
    61,533.54x = 2,944,451,292.08
  5. Step 5: Solve for x
    x = 2,944,451,292.08/61,533.54
  6. Step 6: Final answer
    x = 47,851.16

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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.