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Finding the Fourth Proportional to 31,140.48, 46,627.20 and 19,430.40

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Solution

The fourth proportional to 31,140.48, 46,627.20 and 19,430.40 is: 29,093.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,140.48 : 46,627.20 = 19,430.40 : x
  2. Step 2: Convert to fraction form
    31,140.48/46,627.20 = 19,430.40/x
  3. Step 3: Cross multiply
    31,140.48x = 46,627.20 × 19,430.40
  4. Step 4: Simplify right side
    31,140.48x = 905,985,146.88
  5. Step 5: Solve for x
    x = 905,985,146.88/31,140.48
  6. Step 6: Final answer
    x = 29,093.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.