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Finding the Fourth Proportional to 35,862, 53,792.76 and 9,207.92

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Solution

The fourth proportional to 35,862, 53,792.76 and 9,207.92 is: 13,811.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,862 : 53,792.76 = 9,207.92 : x
  2. Step 2: Convert to fraction form
    35,862/53,792.76 = 9,207.92/x
  3. Step 3: Cross multiply
    35,862x = 53,792.76 × 9,207.92
  4. Step 4: Simplify right side
    35,862x = 495,319,430.66
  5. Step 5: Solve for x
    x = 495,319,430.66/35,862
  6. Step 6: Final answer
    x = 13,811.82

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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.