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Finding the Fourth Proportional to 40,970.86, 61,464.50 and 12,897.98

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Solution

The fourth proportional to 40,970.86, 61,464.50 and 12,897.98 is: 19,349.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,970.86 : 61,464.50 = 12,897.98 : x
  2. Step 2: Convert to fraction form
    40,970.86/61,464.50 = 12,897.98/x
  3. Step 3: Cross multiply
    40,970.86x = 61,464.50 × 12,897.98
  4. Step 4: Simplify right side
    40,970.86x = 792,768,108.22
  5. Step 5: Solve for x
    x = 792,768,108.22/40,970.86
  6. Step 6: Final answer
    x = 19,349.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.