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Finding the Fourth Proportional to 30,924.74, 46,349.10 and 14,261.64

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Solution

The fourth proportional to 30,924.74, 46,349.10 and 14,261.64 is: 21,374.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,924.74 : 46,349.10 = 14,261.64 : x
  2. Step 2: Convert to fraction form
    30,924.74/46,349.10 = 14,261.64/x
  3. Step 3: Cross multiply
    30,924.74x = 46,349.10 × 14,261.64
  4. Step 4: Simplify right side
    30,924.74x = 661,014,178.52
  5. Step 5: Solve for x
    x = 661,014,178.52/30,924.74
  6. Step 6: Final answer
    x = 21,374.93

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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.