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Finding the Fourth Proportional to 35,599, 49,126.80 and 19,683.76

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Solution

The fourth proportional to 35,599, 49,126.80 and 19,683.76 is: 27,163.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,599 : 49,126.80 = 19,683.76 : x
  2. Step 2: Convert to fraction form
    35,599/49,126.80 = 19,683.76/x
  3. Step 3: Cross multiply
    35,599x = 49,126.80 × 19,683.76
  4. Step 4: Simplify right side
    35,599x = 967,000,140.77
  5. Step 5: Solve for x
    x = 967,000,140.77/35,599
  6. Step 6: Final answer
    x = 27,163.69

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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.