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Finding the Fourth Proportional to 35,814.07, 53,721.60 and 9,518.68

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Solution

The fourth proportional to 35,814.07, 53,721.60 and 9,518.68 is: 14,278.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,814.07 : 53,721.60 = 9,518.68 : x
  2. Step 2: Convert to fraction form
    35,814.07/53,721.60 = 9,518.68/x
  3. Step 3: Cross multiply
    35,814.07x = 53,721.60 × 9,518.68
  4. Step 4: Simplify right side
    35,814.07x = 511,358,719.49
  5. Step 5: Solve for x
    x = 511,358,719.49/35,814.07
  6. Step 6: Final answer
    x = 14,278.15

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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.