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Finding the Fourth Proportional to 31,368.63, 47,043 and 10,303.77

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Solution

The fourth proportional to 31,368.63, 47,043 and 10,303.77 is: 15,452.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,368.63 : 47,043 = 10,303.77 : x
  2. Step 2: Convert to fraction form
    31,368.63/47,043 = 10,303.77/x
  3. Step 3: Cross multiply
    31,368.63x = 47,043 × 10,303.77
  4. Step 4: Simplify right side
    31,368.63x = 484,720,252.11
  5. Step 5: Solve for x
    x = 484,720,252.11/31,368.63
  6. Step 6: Final answer
    x = 15,452.39

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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.