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Finding the Fourth Proportional to 114,014.61, 170,929.63 and 47,504.70

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Solution

The fourth proportional to 114,014.61, 170,929.63 and 47,504.70 is: 71,218.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,014.61 : 170,929.63 = 47,504.70 : x
  2. Step 2: Convert to fraction form
    114,014.61/170,929.63 = 47,504.70/x
  3. Step 3: Cross multiply
    114,014.61x = 170,929.63 × 47,504.70
  4. Step 4: Simplify right side
    114,014.61x = 8,119,960,794.26
  5. Step 5: Solve for x
    x = 8,119,960,794.26/114,014.61
  6. Step 6: Final answer
    x = 71,218.60

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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.