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Finding the Fourth Proportional to 35,728.95, 49,302.72 and 19,813.35

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Solution

The fourth proportional to 35,728.95, 49,302.72 and 19,813.35 is: 27,340.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,728.95 : 49,302.72 = 19,813.35 : x
  2. Step 2: Convert to fraction form
    35,728.95/49,302.72 = 19,813.35/x
  3. Step 3: Cross multiply
    35,728.95x = 49,302.72 × 19,813.35
  4. Step 4: Simplify right side
    35,728.95x = 976,852,047.31
  5. Step 5: Solve for x
    x = 976,852,047.31/35,728.95
  6. Step 6: Final answer
    x = 27,340.63

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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.