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Finding the Fourth Proportional to 46,978.60, 64,793.36 and 41,606.68

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Solution

The fourth proportional to 46,978.60, 64,793.36 and 41,606.68 is: 57,384.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,978.60 : 64,793.36 = 41,606.68 : x
  2. Step 2: Convert to fraction form
    46,978.60/64,793.36 = 41,606.68/x
  3. Step 3: Cross multiply
    46,978.60x = 64,793.36 × 41,606.68
  4. Step 4: Simplify right side
    46,978.60x = 2,695,836,595.64
  5. Step 5: Solve for x
    x = 2,695,836,595.64/46,978.60
  6. Step 6: Final answer
    x = 57,384.35

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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.