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Finding the Fourth Proportional to 70,094.34, 105,125.07 and 25,697.01

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Solution

The fourth proportional to 70,094.34, 105,125.07 and 25,697.01 is: 38,539.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,094.34 : 105,125.07 = 25,697.01 : x
  2. Step 2: Convert to fraction form
    70,094.34/105,125.07 = 25,697.01/x
  3. Step 3: Cross multiply
    70,094.34x = 105,125.07 × 25,697.01
  4. Step 4: Simplify right side
    70,094.34x = 2,701,399,975.04
  5. Step 5: Solve for x
    x = 2,701,399,975.04/70,094.34
  6. Step 6: Final answer
    x = 38,539.49

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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.