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Finding the Fourth Proportional to 30,038.16, 41,448.60 and 18,858

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Solution

The fourth proportional to 30,038.16, 41,448.60 and 18,858 is: 26,021.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,038.16 : 41,448.60 = 18,858 : x
  2. Step 2: Convert to fraction form
    30,038.16/41,448.60 = 18,858/x
  3. Step 3: Cross multiply
    30,038.16x = 41,448.60 × 18,858
  4. Step 4: Simplify right side
    30,038.16x = 781,637,698.80
  5. Step 5: Solve for x
    x = 781,637,698.80/30,038.16
  6. Step 6: Final answer
    x = 26,021.49

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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.