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Finding the Fourth Proportional to 70,646.71, 105,965.78 and 25,056.67

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Solution

The fourth proportional to 70,646.71, 105,965.78 and 25,056.67 is: 37,583.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,646.71 : 105,965.78 = 25,056.67 : x
  2. Step 2: Convert to fraction form
    70,646.71/105,965.78 = 25,056.67/x
  3. Step 3: Cross multiply
    70,646.71x = 105,965.78 × 25,056.67
  4. Step 4: Simplify right side
    70,646.71x = 2,655,149,455.47
  5. Step 5: Solve for x
    x = 2,655,149,455.47/70,646.71
  6. Step 6: Final answer
    x = 37,583.48

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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.