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Finding the Fourth Proportional to 42,735.50, 64,111.76 and 13,152.21

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Solution

The fourth proportional to 42,735.50, 64,111.76 and 13,152.21 is: 19,730.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,735.50 : 64,111.76 = 13,152.21 : x
  2. Step 2: Convert to fraction form
    42,735.50/64,111.76 = 13,152.21/x
  3. Step 3: Cross multiply
    42,735.50x = 64,111.76 × 13,152.21
  4. Step 4: Simplify right side
    42,735.50x = 843,211,265.23
  5. Step 5: Solve for x
    x = 843,211,265.23/42,735.50
  6. Step 6: Final answer
    x = 19,730.93

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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.