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Finding the Fourth Proportional to 52,946, 79,420.92 and 16,010

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Solution

The fourth proportional to 52,946, 79,420.92 and 16,010 is: 24,015.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,946 : 79,420.92 = 16,010 : x
  2. Step 2: Convert to fraction form
    52,946/79,420.92 = 16,010/x
  3. Step 3: Cross multiply
    52,946x = 79,420.92 × 16,010
  4. Step 4: Simplify right side
    52,946x = 1,271,528,929.20
  5. Step 5: Solve for x
    x = 1,271,528,929.20/52,946
  6. Step 6: Final answer
    x = 24,015.58

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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.