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Finding the Fourth Proportional to 76,577.71, 105,661.74 and 44,740.46

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Solution

The fourth proportional to 76,577.71, 105,661.74 and 44,740.46 is: 61,732.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,577.71 : 105,661.74 = 44,740.46 : x
  2. Step 2: Convert to fraction form
    76,577.71/105,661.74 = 44,740.46/x
  3. Step 3: Cross multiply
    76,577.71x = 105,661.74 × 44,740.46
  4. Step 4: Simplify right side
    76,577.71x = 4,727,354,852.00
  5. Step 5: Solve for x
    x = 4,727,354,852.00/76,577.71
  6. Step 6: Final answer
    x = 61,732.78

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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.