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Finding the Fourth Proportional to 36,582, 54,802.88 and 21,746

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Solution

The fourth proportional to 36,582, 54,802.88 and 21,746 is: 32,577.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,582 : 54,802.88 = 21,746 : x
  2. Step 2: Convert to fraction form
    36,582/54,802.88 = 21,746/x
  3. Step 3: Cross multiply
    36,582x = 54,802.88 × 21,746
  4. Step 4: Simplify right side
    36,582x = 1,191,743,428.48
  5. Step 5: Solve for x
    x = 1,191,743,428.48/36,582
  6. Step 6: Final answer
    x = 32,577.32

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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.