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Finding the Fourth Proportional to 35,737.61, 49,317.14 and 19,821.71

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Solution

The fourth proportional to 35,737.61, 49,317.14 and 19,821.71 is: 27,353.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,737.61 : 49,317.14 = 19,821.71 : x
  2. Step 2: Convert to fraction form
    35,737.61/49,317.14 = 19,821.71/x
  3. Step 3: Cross multiply
    35,737.61x = 49,317.14 × 19,821.71
  4. Step 4: Simplify right side
    35,737.61x = 977,549,701.42
  5. Step 5: Solve for x
    x = 977,549,701.42/35,737.61
  6. Step 6: Final answer
    x = 27,353.53

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1.5x scale

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.