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Finding the Fourth Proportional to 46,978.67, 70,460.50 and 13,690.95

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Solution

The fourth proportional to 46,978.67, 70,460.50 and 13,690.95 is: 20,534.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,978.67 : 70,460.50 = 13,690.95 : x
  2. Step 2: Convert to fraction form
    46,978.67/70,460.50 = 13,690.95/x
  3. Step 3: Cross multiply
    46,978.67x = 70,460.50 × 13,690.95
  4. Step 4: Simplify right side
    46,978.67x = 964,670,761.72
  5. Step 5: Solve for x
    x = 964,670,761.72/46,978.67
  6. Step 6: Final answer
    x = 20,534.23

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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.