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Finding the Fourth Proportional to 35,386.50, 53,100.92 and 13,215.46

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Solution

The fourth proportional to 35,386.50, 53,100.92 and 13,215.46 is: 19,831.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,386.50 : 53,100.92 = 13,215.46 : x
  2. Step 2: Convert to fraction form
    35,386.50/53,100.92 = 13,215.46/x
  3. Step 3: Cross multiply
    35,386.50x = 53,100.92 × 13,215.46
  4. Step 4: Simplify right side
    35,386.50x = 701,753,084.22
  5. Step 5: Solve for x
    x = 701,753,084.22/35,386.50
  6. Step 6: Final answer
    x = 19,831.10

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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.