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Finding the Fourth Proportional to 30,478.94, 42,061.78 and 17,052.51

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Solution

The fourth proportional to 30,478.94, 42,061.78 and 17,052.51 is: 23,532.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,478.94 : 42,061.78 = 17,052.51 : x
  2. Step 2: Convert to fraction form
    30,478.94/42,061.78 = 17,052.51/x
  3. Step 3: Cross multiply
    30,478.94x = 42,061.78 × 17,052.51
  4. Step 4: Simplify right side
    30,478.94x = 717,258,924.07
  5. Step 5: Solve for x
    x = 717,258,924.07/30,478.94
  6. Step 6: Final answer
    x = 23,532.94

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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.