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Finding the Fourth Proportional to 29,594.40, 40,802.16 and 21,106.20

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Solution

The fourth proportional to 29,594.40, 40,802.16 and 21,106.20 is: 29,099.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,594.40 : 40,802.16 = 21,106.20 : x
  2. Step 2: Convert to fraction form
    29,594.40/40,802.16 = 21,106.20/x
  3. Step 3: Cross multiply
    29,594.40x = 40,802.16 × 21,106.20
  4. Step 4: Simplify right side
    29,594.40x = 861,178,549.39
  5. Step 5: Solve for x
    x = 861,178,549.39/29,594.40
  6. Step 6: Final answer
    x = 29,099.38

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Why These Related Problems?

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