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Finding the Fourth Proportional to 48,715.70, 72,943.95 and 31,090.10

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Solution

The fourth proportional to 48,715.70, 72,943.95 and 31,090.10 is: 46,552.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,715.70 : 72,943.95 = 31,090.10 : x
  2. Step 2: Convert to fraction form
    48,715.70/72,943.95 = 31,090.10/x
  3. Step 3: Cross multiply
    48,715.70x = 72,943.95 × 31,090.10
  4. Step 4: Simplify right side
    48,715.70x = 2,267,834,699.90
  5. Step 5: Solve for x
    x = 2,267,834,699.90/48,715.70
  6. Step 6: Final answer
    x = 46,552.44

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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.