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Finding the Fourth Proportional to 37,891.39, 52,312.50 and 33,688

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Solution

The fourth proportional to 37,891.39, 52,312.50 and 33,688 is: 46,509.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,891.39 : 52,312.50 = 33,688 : x
  2. Step 2: Convert to fraction form
    37,891.39/52,312.50 = 33,688/x
  3. Step 3: Cross multiply
    37,891.39x = 52,312.50 × 33,688
  4. Step 4: Simplify right side
    37,891.39x = 1,762,303,500
  5. Step 5: Solve for x
    x = 1,762,303,500/37,891.39
  6. Step 6: Final answer
    x = 46,509.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.