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Finding the Fourth Proportional to 29,784.66, 44,677.95 and 14,203.86

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Solution

The fourth proportional to 29,784.66, 44,677.95 and 14,203.86 is: 21,306.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,784.66 : 44,677.95 = 14,203.86 : x
  2. Step 2: Convert to fraction form
    29,784.66/44,677.95 = 14,203.86/x
  3. Step 3: Cross multiply
    29,784.66x = 44,677.95 × 14,203.86
  4. Step 4: Simplify right side
    29,784.66x = 634,599,346.89
  5. Step 5: Solve for x
    x = 634,599,346.89/29,784.66
  6. Step 6: Final answer
    x = 21,306.25

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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.