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Finding the Fourth Proportional to 38,425.50, 53,070.93 and 25,828.38

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Solution

The fourth proportional to 38,425.50, 53,070.93 and 25,828.38 is: 35,672.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,425.50 : 53,070.93 = 25,828.38 : x
  2. Step 2: Convert to fraction form
    38,425.50/53,070.93 = 25,828.38/x
  3. Step 3: Cross multiply
    38,425.50x = 53,070.93 × 25,828.38
  4. Step 4: Simplify right side
    38,425.50x = 1,370,736,146.99
  5. Step 5: Solve for x
    x = 1,370,736,146.99/38,425.50
  6. Step 6: Final answer
    x = 35,672.57

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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.