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Finding the Fourth Proportional to 117,477.12, 176,214.16 and 28,731.36

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Solution

The fourth proportional to 117,477.12, 176,214.16 and 28,731.36 is: 43,096.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,477.12 : 176,214.16 = 28,731.36 : x
  2. Step 2: Convert to fraction form
    117,477.12/176,214.16 = 28,731.36/x
  3. Step 3: Cross multiply
    117,477.12x = 176,214.16 × 28,731.36
  4. Step 4: Simplify right side
    117,477.12x = 5,062,872,468.06
  5. Step 5: Solve for x
    x = 5,062,872,468.06/117,477.12
  6. Step 6: Final answer
    x = 43,096.67

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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.