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Finding the Fourth Proportional to 47,124.52, 65,054.10 and 29,905.54

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Solution

The fourth proportional to 47,124.52, 65,054.10 and 29,905.54 is: 41,283.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,124.52 : 65,054.10 = 29,905.54 : x
  2. Step 2: Convert to fraction form
    47,124.52/65,054.10 = 29,905.54/x
  3. Step 3: Cross multiply
    47,124.52x = 65,054.10 × 29,905.54
  4. Step 4: Simplify right side
    47,124.52x = 1,945,477,989.71
  5. Step 5: Solve for x
    x = 1,945,477,989.71/47,124.52
  6. Step 6: Final answer
    x = 41,283.77

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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.