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Finding the Fourth Proportional to 40,970.64, 61,462.44 and 14,674.80

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Solution

The fourth proportional to 40,970.64, 61,462.44 and 14,674.80 is: 22,014.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,970.64 : 61,462.44 = 14,674.80 : x
  2. Step 2: Convert to fraction form
    40,970.64/61,462.44 = 14,674.80/x
  3. Step 3: Cross multiply
    40,970.64x = 61,462.44 × 14,674.80
  4. Step 4: Simplify right side
    40,970.64x = 901,949,014.51
  5. Step 5: Solve for x
    x = 901,949,014.51/40,970.64
  6. Step 6: Final answer
    x = 22,014.52

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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.