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Finding the Fourth Proportional to 52,859.57, 72,984.47 and 34,029.50

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Solution

The fourth proportional to 52,859.57, 72,984.47 and 34,029.50 is: 46,985.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,859.57 : 72,984.47 = 34,029.50 : x
  2. Step 2: Convert to fraction form
    52,859.57/72,984.47 = 34,029.50/x
  3. Step 3: Cross multiply
    52,859.57x = 72,984.47 × 34,029.50
  4. Step 4: Simplify right side
    52,859.57x = 2,483,624,851.72
  5. Step 5: Solve for x
    x = 2,483,624,851.72/52,859.57
  6. Step 6: Final answer
    x = 46,985.34

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