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Finding the Fourth Proportional to 38,974.07, 53,784.26 and 21,069.08

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Solution

The fourth proportional to 38,974.07, 53,784.26 and 21,069.08 is: 29,075.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,974.07 : 53,784.26 = 21,069.08 : x
  2. Step 2: Convert to fraction form
    38,974.07/53,784.26 = 21,069.08/x
  3. Step 3: Cross multiply
    38,974.07x = 53,784.26 × 21,069.08
  4. Step 4: Simplify right side
    38,974.07x = 1,133,184,502.41
  5. Step 5: Solve for x
    x = 1,133,184,502.41/38,974.07
  6. Step 6: Final answer
    x = 29,075.35

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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.