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Finding the Fourth Proportional to 70,159.50, 105,173.64 and 25,774.34

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Solution

The fourth proportional to 70,159.50, 105,173.64 and 25,774.34 is: 38,637.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,159.50 : 105,173.64 = 25,774.34 : x
  2. Step 2: Convert to fraction form
    70,159.50/105,173.64 = 25,774.34/x
  3. Step 3: Cross multiply
    70,159.50x = 105,173.64 × 25,774.34
  4. Step 4: Simplify right side
    70,159.50x = 2,710,780,630.53
  5. Step 5: Solve for x
    x = 2,710,780,630.53/70,159.50
  6. Step 6: Final answer
    x = 38,637.40

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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.