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Finding the Fourth Proportional to 35,830.50, 53,746.96 and 13,640.54

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Solution

The fourth proportional to 35,830.50, 53,746.96 and 13,640.54 is: 20,461.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,830.50 : 53,746.96 = 13,640.54 : x
  2. Step 2: Convert to fraction form
    35,830.50/53,746.96 = 13,640.54/x
  3. Step 3: Cross multiply
    35,830.50x = 53,746.96 × 13,640.54
  4. Step 4: Simplify right side
    35,830.50x = 733,137,557.76
  5. Step 5: Solve for x
    x = 733,137,557.76/35,830.50
  6. Step 6: Final answer
    x = 20,461.27

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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.