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Finding the Fourth Proportional to 35,527, 49,032.12 and 20,623

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Solution

The fourth proportional to 35,527, 49,032.12 and 20,623 is: 28,462.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,527 : 49,032.12 = 20,623 : x
  2. Step 2: Convert to fraction form
    35,527/49,032.12 = 20,623/x
  3. Step 3: Cross multiply
    35,527x = 49,032.12 × 20,623
  4. Step 4: Simplify right side
    35,527x = 1,011,189,410.76
  5. Step 5: Solve for x
    x = 1,011,189,410.76/35,527
  6. Step 6: Final answer
    x = 28,462.56

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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.