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Finding the Fourth Proportional to 114,385.41, 171,557.04 and 47,807.67

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Solution

The fourth proportional to 114,385.41, 171,557.04 and 47,807.67 is: 71,702.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,385.41 : 171,557.04 = 47,807.67 : x
  2. Step 2: Convert to fraction form
    114,385.41/171,557.04 = 47,807.67/x
  3. Step 3: Cross multiply
    114,385.41x = 171,557.04 × 47,807.67
  4. Step 4: Simplify right side
    114,385.41x = 8,201,742,354.50
  5. Step 5: Solve for x
    x = 8,201,742,354.50/114,385.41
  6. Step 6: Final answer
    x = 71,702.70

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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.