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Finding the Fourth Proportional to 31,663.40, 47,504.61 and 9,477.50

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Solution

The fourth proportional to 31,663.40, 47,504.61 and 9,477.50 is: 14,219.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,663.40 : 47,504.61 = 9,477.50 : x
  2. Step 2: Convert to fraction form
    31,663.40/47,504.61 = 9,477.50/x
  3. Step 3: Cross multiply
    31,663.40x = 47,504.61 × 9,477.50
  4. Step 4: Simplify right side
    31,663.40x = 450,224,941.28
  5. Step 5: Solve for x
    x = 450,224,941.28/31,663.40
  6. Step 6: Final answer
    x = 14,219.10

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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.