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Finding the Fourth Proportional to 31,762.95, 47,629.02 and 9,572.19

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Solution

The fourth proportional to 31,762.95, 47,629.02 and 9,572.19 is: 14,353.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,762.95 : 47,629.02 = 9,572.19 : x
  2. Step 2: Convert to fraction form
    31,762.95/47,629.02 = 9,572.19/x
  3. Step 3: Cross multiply
    31,762.95x = 47,629.02 × 9,572.19
  4. Step 4: Simplify right side
    31,762.95x = 455,914,028.95
  5. Step 5: Solve for x
    x = 455,914,028.95/31,762.95
  6. Step 6: Final answer
    x = 14,353.64

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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.