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Finding the Fourth Proportional to 38,707.34, 53,362.14 and 25,962.80

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Solution

The fourth proportional to 38,707.34, 53,362.14 and 25,962.80 is: 35,792.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,707.34 : 53,362.14 = 25,962.80 : x
  2. Step 2: Convert to fraction form
    38,707.34/53,362.14 = 25,962.80/x
  3. Step 3: Cross multiply
    38,707.34x = 53,362.14 × 25,962.80
  4. Step 4: Simplify right side
    38,707.34x = 1,385,430,568.39
  5. Step 5: Solve for x
    x = 1,385,430,568.39/38,707.34
  6. Step 6: Final answer
    x = 35,792.45

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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.