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Finding the Fourth Proportional to 117,289.56, 175,931.88 and 28,543.56

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Solution

The fourth proportional to 117,289.56, 175,931.88 and 28,543.56 is: 42,814.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,289.56 : 175,931.88 = 28,543.56 : x
  2. Step 2: Convert to fraction form
    117,289.56/175,931.88 = 28,543.56/x
  3. Step 3: Cross multiply
    117,289.56x = 175,931.88 × 28,543.56
  4. Step 4: Simplify right side
    117,289.56x = 5,021,722,172.69
  5. Step 5: Solve for x
    x = 5,021,722,172.69/117,289.56
  6. Step 6: Final answer
    x = 42,814.74

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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.