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Finding the Fourth Proportional to 65,150.92, 97,746.23 and 31,866.15

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Solution

The fourth proportional to 65,150.92, 97,746.23 and 31,866.15 is: 47,808.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,150.92 : 97,746.23 = 31,866.15 : x
  2. Step 2: Convert to fraction form
    65,150.92/97,746.23 = 31,866.15/x
  3. Step 3: Cross multiply
    65,150.92x = 97,746.23 × 31,866.15
  4. Step 4: Simplify right side
    65,150.92x = 3,114,796,027.11
  5. Step 5: Solve for x
    x = 3,114,796,027.11/65,150.92
  6. Step 6: Final answer
    x = 47,808.93

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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.