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Finding the Fourth Proportional to 76,130, 114,205.89 and 23,543.54

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Solution

The fourth proportional to 76,130, 114,205.89 and 23,543.54 is: 35,318.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,130 : 114,205.89 = 23,543.54 : x
  2. Step 2: Convert to fraction form
    76,130/114,205.89 = 23,543.54/x
  3. Step 3: Cross multiply
    76,130x = 114,205.89 × 23,543.54
  4. Step 4: Simplify right side
    76,130x = 2,688,810,939.45
  5. Step 5: Solve for x
    x = 2,688,810,939.45/76,130
  6. Step 6: Final answer
    x = 35,318.68

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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.