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Finding the Fourth Proportional to 38,088, 52,564.32 and 21,322.08

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Solution

The fourth proportional to 38,088, 52,564.32 and 21,322.08 is: 29,426.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,088 : 52,564.32 = 21,322.08 : x
  2. Step 2: Convert to fraction form
    38,088/52,564.32 = 21,322.08/x
  3. Step 3: Cross multiply
    38,088x = 52,564.32 × 21,322.08
  4. Step 4: Simplify right side
    38,088x = 1,120,780,636.19
  5. Step 5: Solve for x
    x = 1,120,780,636.19/38,088
  6. Step 6: Final answer
    x = 29,426.08

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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.