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Finding the Fourth Proportional to 30,005.50, 44,977.53 and 12,485.50

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Solution

The fourth proportional to 30,005.50, 44,977.53 and 12,485.50 is: 18,715.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,005.50 : 44,977.53 = 12,485.50 : x
  2. Step 2: Convert to fraction form
    30,005.50/44,977.53 = 12,485.50/x
  3. Step 3: Cross multiply
    30,005.50x = 44,977.53 × 12,485.50
  4. Step 4: Simplify right side
    30,005.50x = 561,566,950.82
  5. Step 5: Solve for x
    x = 561,566,950.82/30,005.50
  6. Step 6: Final answer
    x = 18,715.47

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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.