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Finding the Fourth Proportional to 65,182.65, 97,775.79 and 23,056.77

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Solution

The fourth proportional to 65,182.65, 97,775.79 and 23,056.77 is: 34,585.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,182.65 : 97,775.79 = 23,056.77 : x
  2. Step 2: Convert to fraction form
    65,182.65/97,775.79 = 23,056.77/x
  3. Step 3: Cross multiply
    65,182.65x = 97,775.79 × 23,056.77
  4. Step 4: Simplify right side
    65,182.65x = 2,254,393,901.60
  5. Step 5: Solve for x
    x = 2,254,393,901.60/65,182.65
  6. Step 6: Final answer
    x = 34,585.80

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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.