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Finding the Fourth Proportional to 38,097.57, 52,577.63 and 21,970.07

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Solution

The fourth proportional to 38,097.57, 52,577.63 and 21,970.07 is: 30,320.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,097.57 : 52,577.63 = 21,970.07 : x
  2. Step 2: Convert to fraction form
    38,097.57/52,577.63 = 21,970.07/x
  3. Step 3: Cross multiply
    38,097.57x = 52,577.63 × 21,970.07
  4. Step 4: Simplify right side
    38,097.57x = 1,155,133,838.80
  5. Step 5: Solve for x
    x = 1,155,133,838.80/38,097.57
  6. Step 6: Final answer
    x = 30,320.41

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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.