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Finding the Fourth Proportional to 35,882, 53,831.64 and 11,258

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Solution

The fourth proportional to 35,882, 53,831.64 and 11,258 is: 16,889.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,882 : 53,831.64 = 11,258 : x
  2. Step 2: Convert to fraction form
    35,882/53,831.64 = 11,258/x
  3. Step 3: Cross multiply
    35,882x = 53,831.64 × 11,258
  4. Step 4: Simplify right side
    35,882x = 606,036,603.12
  5. Step 5: Solve for x
    x = 606,036,603.12/35,882
  6. Step 6: Final answer
    x = 16,889.71

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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.