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Finding the Fourth Proportional to 35,641, 49,197.54 and 20,737

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Solution

The fourth proportional to 35,641, 49,197.54 and 20,737 is: 28,624.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,641 : 49,197.54 = 20,737 : x
  2. Step 2: Convert to fraction form
    35,641/49,197.54 = 20,737/x
  3. Step 3: Cross multiply
    35,641x = 49,197.54 × 20,737
  4. Step 4: Simplify right side
    35,641x = 1,020,209,386.98
  5. Step 5: Solve for x
    x = 1,020,209,386.98/35,641
  6. Step 6: Final answer
    x = 28,624.60

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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.