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Finding the Fourth Proportional to 30,831.81, 42,547.73 and 17,402.37

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Solution

The fourth proportional to 30,831.81, 42,547.73 and 17,402.37 is: 24,015.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,831.81 : 42,547.73 = 17,402.37 : x
  2. Step 2: Convert to fraction form
    30,831.81/42,547.73 = 17,402.37/x
  3. Step 3: Cross multiply
    30,831.81x = 42,547.73 × 17,402.37
  4. Step 4: Simplify right side
    30,831.81x = 740,431,253.11
  5. Step 5: Solve for x
    x = 740,431,253.11/30,831.81
  6. Step 6: Final answer
    x = 24,015.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.