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Finding the Fourth Proportional to 42,745.50, 64,123.38 and 17,802.45

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Solution

The fourth proportional to 42,745.50, 64,123.38 and 17,802.45 is: 26,705.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,745.50 : 64,123.38 = 17,802.45 : x
  2. Step 2: Convert to fraction form
    42,745.50/64,123.38 = 17,802.45/x
  3. Step 3: Cross multiply
    42,745.50x = 64,123.38 × 17,802.45
  4. Step 4: Simplify right side
    42,745.50x = 1,141,553,266.28
  5. Step 5: Solve for x
    x = 1,141,553,266.28/42,745.50
  6. Step 6: Final answer
    x = 26,705.81

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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.