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Finding the Fourth Proportional to 52,099.60, 78,097.56 and 29,886.16

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Solution

The fourth proportional to 52,099.60, 78,097.56 and 29,886.16 is: 44,799.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,099.60 : 78,097.56 = 29,886.16 : x
  2. Step 2: Convert to fraction form
    52,099.60/78,097.56 = 29,886.16/x
  3. Step 3: Cross multiply
    52,099.60x = 78,097.56 × 29,886.16
  4. Step 4: Simplify right side
    52,099.60x = 2,334,036,173.77
  5. Step 5: Solve for x
    x = 2,334,036,173.77/52,099.60
  6. Step 6: Final answer
    x = 44,799.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.