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Finding the Fourth Proportional to 35,301.25, 48,726.66 and 22,726

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Solution

The fourth proportional to 35,301.25, 48,726.66 and 22,726 is: 31,368.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,301.25 : 48,726.66 = 22,726 : x
  2. Step 2: Convert to fraction form
    35,301.25/48,726.66 = 22,726/x
  3. Step 3: Cross multiply
    35,301.25x = 48,726.66 × 22,726
  4. Step 4: Simplify right side
    35,301.25x = 1,107,362,075.16
  5. Step 5: Solve for x
    x = 1,107,362,075.16/35,301.25
  6. Step 6: Final answer
    x = 31,368.92

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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.