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Finding the Fourth Proportional to 32,346, 44,641.80 and 21,174.48

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Solution

The fourth proportional to 32,346, 44,641.80 and 21,174.48 is: 29,223.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,346 : 44,641.80 = 21,174.48 : x
  2. Step 2: Convert to fraction form
    32,346/44,641.80 = 21,174.48/x
  3. Step 3: Cross multiply
    32,346x = 44,641.80 × 21,174.48
  4. Step 4: Simplify right side
    32,346x = 945,266,901.26
  5. Step 5: Solve for x
    x = 945,266,901.26/32,346
  6. Step 6: Final answer
    x = 29,223.61

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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.