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Finding the Fourth Proportional to 76,484.96, 105,537.84 and 42,944.48

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Solution

The fourth proportional to 76,484.96, 105,537.84 and 42,944.48 is: 59,256.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,484.96 : 105,537.84 = 42,944.48 : x
  2. Step 2: Convert to fraction form
    76,484.96/105,537.84 = 42,944.48/x
  3. Step 3: Cross multiply
    76,484.96x = 105,537.84 × 42,944.48
  4. Step 4: Simplify right side
    76,484.96x = 4,532,267,659.12
  5. Step 5: Solve for x
    x = 4,532,267,659.12/76,484.96
  6. Step 6: Final answer
    x = 59,256.98

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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.