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Finding the Fourth Proportional to 46,840.42, 70,264.30 and 13,561

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Solution

The fourth proportional to 46,840.42, 70,264.30 and 13,561 is: 20,342.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,840.42 : 70,264.30 = 13,561 : x
  2. Step 2: Convert to fraction form
    46,840.42/70,264.30 = 13,561/x
  3. Step 3: Cross multiply
    46,840.42x = 70,264.30 × 13,561
  4. Step 4: Simplify right side
    46,840.42x = 952,854,172.30
  5. Step 5: Solve for x
    x = 952,854,172.30/46,840.42
  6. Step 6: Final answer
    x = 20,342.56

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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.