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Finding the Fourth Proportional to 59,346, 81,897.48 and 34,203.60

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Solution

The fourth proportional to 59,346, 81,897.48 and 34,203.60 is: 47,200.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,346 : 81,897.48 = 34,203.60 : x
  2. Step 2: Convert to fraction form
    59,346/81,897.48 = 34,203.60/x
  3. Step 3: Cross multiply
    59,346x = 81,897.48 × 34,203.60
  4. Step 4: Simplify right side
    59,346x = 2,801,188,646.93
  5. Step 5: Solve for x
    x = 2,801,188,646.93/59,346
  6. Step 6: Final answer
    x = 47,200.97

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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.