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Finding the Fourth Proportional to 37,835.60, 52,211.72 and 21,068.24

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Solution

The fourth proportional to 37,835.60, 52,211.72 and 21,068.24 is: 29,073.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,835.60 : 52,211.72 = 21,068.24 : x
  2. Step 2: Convert to fraction form
    37,835.60/52,211.72 = 21,068.24/x
  3. Step 3: Cross multiply
    37,835.60x = 52,211.72 × 21,068.24
  4. Step 4: Simplify right side
    37,835.60x = 1,100,009,047.77
  5. Step 5: Solve for x
    x = 1,100,009,047.77/37,835.60
  6. Step 6: Final answer
    x = 29,073.39

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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.