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Finding the Fourth Proportional to 35,280, 52,920 and 15,824

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Solution

The fourth proportional to 35,280, 52,920 and 15,824 is: 23,736

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,280 : 52,920 = 15,824 : x
  2. Step 2: Convert to fraction form
    35,280/52,920 = 15,824/x
  3. Step 3: Cross multiply
    35,280x = 52,920 × 15,824
  4. Step 4: Simplify right side
    35,280x = 837,406,080
  5. Step 5: Solve for x
    x = 837,406,080/35,280
  6. Step 6: Final answer
    x = 23,736

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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.