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Finding the Fourth Proportional to 65,224.94, 97,870.23 and 48,618.32

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Solution

The fourth proportional to 65,224.94, 97,870.23 and 48,618.32 is: 72,951.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,224.94 : 97,870.23 = 48,618.32 : x
  2. Step 2: Convert to fraction form
    65,224.94/97,870.23 = 48,618.32/x
  3. Step 3: Cross multiply
    65,224.94x = 97,870.23 × 48,618.32
  4. Step 4: Simplify right side
    65,224.94x = 4,758,285,671.26
  5. Step 5: Solve for x
    x = 4,758,285,671.26/65,224.94
  6. Step 6: Final answer
    x = 72,951.94

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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.