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Finding the Fourth Proportional to 38,802.40, 58,106.40 and 25,583.20

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Solution

The fourth proportional to 38,802.40, 58,106.40 and 25,583.20 is: 38,310.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,802.40 : 58,106.40 = 25,583.20 : x
  2. Step 2: Convert to fraction form
    38,802.40/58,106.40 = 25,583.20/x
  3. Step 3: Cross multiply
    38,802.40x = 58,106.40 × 25,583.20
  4. Step 4: Simplify right side
    38,802.40x = 1,486,547,652.48
  5. Step 5: Solve for x
    x = 1,486,547,652.48/38,802.40
  6. Step 6: Final answer
    x = 38,310.71

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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.