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Finding the Fourth Proportional to 35,393.40, 48,834.06 and 22,803

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Solution

The fourth proportional to 35,393.40, 48,834.06 and 22,803 is: 31,462.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,393.40 : 48,834.06 = 22,803 : x
  2. Step 2: Convert to fraction form
    35,393.40/48,834.06 = 22,803/x
  3. Step 3: Cross multiply
    35,393.40x = 48,834.06 × 22,803
  4. Step 4: Simplify right side
    35,393.40x = 1,113,563,070.18
  5. Step 5: Solve for x
    x = 1,113,563,070.18/35,393.40
  6. Step 6: Final answer
    x = 31,462.45

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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.