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Finding the Fourth Proportional to 52,056.96, 78,100.02 and 20,914.08

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Solution

The fourth proportional to 52,056.96, 78,100.02 and 20,914.08 is: 31,376.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,056.96 : 78,100.02 = 20,914.08 : x
  2. Step 2: Convert to fraction form
    52,056.96/78,100.02 = 20,914.08/x
  3. Step 3: Cross multiply
    52,056.96x = 78,100.02 × 20,914.08
  4. Step 4: Simplify right side
    52,056.96x = 1,633,390,066.28
  5. Step 5: Solve for x
    x = 1,633,390,066.28/52,056.96
  6. Step 6: Final answer
    x = 31,376.98

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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.