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Finding the Fourth Proportional to 38,303.36, 52,858.32 and 21,536

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Solution

The fourth proportional to 38,303.36, 52,858.32 and 21,536 is: 29,719.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,303.36 : 52,858.32 = 21,536 : x
  2. Step 2: Convert to fraction form
    38,303.36/52,858.32 = 21,536/x
  3. Step 3: Cross multiply
    38,303.36x = 52,858.32 × 21,536
  4. Step 4: Simplify right side
    38,303.36x = 1,138,356,779.52
  5. Step 5: Solve for x
    x = 1,138,356,779.52/38,303.36
  6. Step 6: Final answer
    x = 29,719.50

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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.