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Finding the Fourth Proportional to 78,735.47, 118,103.10 and 19,571.13

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Solution

The fourth proportional to 78,735.47, 118,103.10 and 19,571.13 is: 29,356.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,735.47 : 118,103.10 = 19,571.13 : x
  2. Step 2: Convert to fraction form
    78,735.47/118,103.10 = 19,571.13/x
  3. Step 3: Cross multiply
    78,735.47x = 118,103.10 × 19,571.13
  4. Step 4: Simplify right side
    78,735.47x = 2,311,411,123.50
  5. Step 5: Solve for x
    x = 2,311,411,123.50/78,735.47
  6. Step 6: Final answer
    x = 29,356.67

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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.