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Finding the Fourth Proportional to 27,831.04, 41,746.02 and 7,054

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Solution

The fourth proportional to 27,831.04, 41,746.02 and 7,054 is: 10,580.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,831.04 : 41,746.02 = 7,054 : x
  2. Step 2: Convert to fraction form
    27,831.04/41,746.02 = 7,054/x
  3. Step 3: Cross multiply
    27,831.04x = 41,746.02 × 7,054
  4. Step 4: Simplify right side
    27,831.04x = 294,476,425.08
  5. Step 5: Solve for x
    x = 294,476,425.08/27,831.04
  6. Step 6: Final answer
    x = 10,580.86

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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.