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Finding the Fourth Proportional to 47,346, 65,341.80 and 27,209.04

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Solution

The fourth proportional to 47,346, 65,341.80 and 27,209.04 is: 37,550.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,346 : 65,341.80 = 27,209.04 : x
  2. Step 2: Convert to fraction form
    47,346/65,341.80 = 27,209.04/x
  3. Step 3: Cross multiply
    47,346x = 65,341.80 × 27,209.04
  4. Step 4: Simplify right side
    47,346x = 1,777,887,649.87
  5. Step 5: Solve for x
    x = 1,777,887,649.87/47,346
  6. Step 6: Final answer
    x = 37,550.96

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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.