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Finding the Fourth Proportional to 35,831.04, 53,386.53 and 33,819

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Solution

The fourth proportional to 35,831.04, 53,386.53 and 33,819 is: 50,388.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,831.04 : 53,386.53 = 33,819 : x
  2. Step 2: Convert to fraction form
    35,831.04/53,386.53 = 33,819/x
  3. Step 3: Cross multiply
    35,831.04x = 53,386.53 × 33,819
  4. Step 4: Simplify right side
    35,831.04x = 1,805,479,058.07
  5. Step 5: Solve for x
    x = 1,805,479,058.07/35,831.04
  6. Step 6: Final answer
    x = 50,388.69

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.