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Finding the Fourth Proportional to 52,274.30, 78,420.89 and 19,041.01

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Solution

The fourth proportional to 52,274.30, 78,420.89 and 19,041.01 is: 28,564.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,274.30 : 78,420.89 = 19,041.01 : x
  2. Step 2: Convert to fraction form
    52,274.30/78,420.89 = 19,041.01/x
  3. Step 3: Cross multiply
    52,274.30x = 78,420.89 × 19,041.01
  4. Step 4: Simplify right side
    52,274.30x = 1,493,212,802.25
  5. Step 5: Solve for x
    x = 1,493,212,802.25/52,274.30
  6. Step 6: Final answer
    x = 28,564.95

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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.