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Finding the Fourth Proportional to 76,648.10, 105,745.02 and 56,552.94

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Solution

The fourth proportional to 76,648.10, 105,745.02 and 56,552.94 is: 78,021.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,648.10 : 105,745.02 = 56,552.94 : x
  2. Step 2: Convert to fraction form
    76,648.10/105,745.02 = 56,552.94/x
  3. Step 3: Cross multiply
    76,648.10x = 105,745.02 × 56,552.94
  4. Step 4: Simplify right side
    76,648.10x = 5,980,191,771.36
  5. Step 5: Solve for x
    x = 5,980,191,771.36/76,648.10
  6. Step 6: Final answer
    x = 78,021.40

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1.5x scale

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.