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Finding the Fourth Proportional to 39,037.32, 53,894.70 and 25,632

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Solution

The fourth proportional to 39,037.32, 53,894.70 and 25,632 is: 35,387.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,037.32 : 53,894.70 = 25,632 : x
  2. Step 2: Convert to fraction form
    39,037.32/53,894.70 = 25,632/x
  3. Step 3: Cross multiply
    39,037.32x = 53,894.70 × 25,632
  4. Step 4: Simplify right side
    39,037.32x = 1,381,428,950.40
  5. Step 5: Solve for x
    x = 1,381,428,950.40/39,037.32
  6. Step 6: Final answer
    x = 35,387.39

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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.