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Finding the Fourth Proportional to 51,412.60, 70,948.02 and 29,056.60

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Solution

The fourth proportional to 51,412.60, 70,948.02 and 29,056.60 is: 40,097.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,412.60 : 70,948.02 = 29,056.60 : x
  2. Step 2: Convert to fraction form
    51,412.60/70,948.02 = 29,056.60/x
  3. Step 3: Cross multiply
    51,412.60x = 70,948.02 × 29,056.60
  4. Step 4: Simplify right side
    51,412.60x = 2,061,508,237.93
  5. Step 5: Solve for x
    x = 2,061,508,237.93/51,412.60
  6. Step 6: Final answer
    x = 40,097.33

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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.