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Finding the Fourth Proportional to 31,788.45, 47,683.04 and 9,602.01

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Solution

The fourth proportional to 31,788.45, 47,683.04 and 9,602.01 is: 14,403.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,788.45 : 47,683.04 = 9,602.01 : x
  2. Step 2: Convert to fraction form
    31,788.45/47,683.04 = 9,602.01/x
  3. Step 3: Cross multiply
    31,788.45x = 47,683.04 × 9,602.01
  4. Step 4: Simplify right side
    31,788.45x = 457,852,978.90
  5. Step 5: Solve for x
    x = 457,852,978.90/31,788.45
  6. Step 6: Final answer
    x = 14,403.12

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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.