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Finding the Fourth Proportional to 35,792.64, 53,678.02 and 17,062.80

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Solution

The fourth proportional to 35,792.64, 53,678.02 and 17,062.80 is: 25,588.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,792.64 : 53,678.02 = 17,062.80 : x
  2. Step 2: Convert to fraction form
    35,792.64/53,678.02 = 17,062.80/x
  3. Step 3: Cross multiply
    35,792.64x = 53,678.02 × 17,062.80
  4. Step 4: Simplify right side
    35,792.64x = 915,897,319.66
  5. Step 5: Solve for x
    x = 915,897,319.66/35,792.64
  6. Step 6: Final answer
    x = 25,588.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.