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Finding the Fourth Proportional to 117,187.76, 175,779.96 and 28,442

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Solution

The fourth proportional to 117,187.76, 175,779.96 and 28,442 is: 42,662.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,187.76 : 175,779.96 = 28,442 : x
  2. Step 2: Convert to fraction form
    117,187.76/175,779.96 = 28,442/x
  3. Step 3: Cross multiply
    117,187.76x = 175,779.96 × 28,442
  4. Step 4: Simplify right side
    117,187.76x = 4,999,533,622.32
  5. Step 5: Solve for x
    x = 4,999,533,622.32/117,187.76
  6. Step 6: Final answer
    x = 42,662.59

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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.