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Finding the Fourth Proportional to 57,187.16, 78,948.14 and 44,411.68

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Solution

The fourth proportional to 57,187.16, 78,948.14 and 44,411.68 is: 61,311.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,187.16 : 78,948.14 = 44,411.68 : x
  2. Step 2: Convert to fraction form
    57,187.16/78,948.14 = 44,411.68/x
  3. Step 3: Cross multiply
    57,187.16x = 78,948.14 × 44,411.68
  4. Step 4: Simplify right side
    57,187.16x = 3,506,219,530.28
  5. Step 5: Solve for x
    x = 3,506,219,530.28/57,187.16
  6. Step 6: Final answer
    x = 61,311.31

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Why These Related Problems?

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