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Finding the Fourth Proportional to 34,509.60, 47,606.40 and 21,938.40

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Solution

The fourth proportional to 34,509.60, 47,606.40 and 21,938.40 is: 30,264.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,509.60 : 47,606.40 = 21,938.40 : x
  2. Step 2: Convert to fraction form
    34,509.60/47,606.40 = 21,938.40/x
  3. Step 3: Cross multiply
    34,509.60x = 47,606.40 × 21,938.40
  4. Step 4: Simplify right side
    34,509.60x = 1,044,408,245.76
  5. Step 5: Solve for x
    x = 1,044,408,245.76/34,509.60
  6. Step 6: Final answer
    x = 30,264.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.