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Finding the Fourth Proportional to 76,741.54, 105,903.52 and 44,482.40

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Solution

The fourth proportional to 76,741.54, 105,903.52 and 44,482.40 is: 61,385.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,741.54 : 105,903.52 = 44,482.40 : x
  2. Step 2: Convert to fraction form
    76,741.54/105,903.52 = 44,482.40/x
  3. Step 3: Cross multiply
    76,741.54x = 105,903.52 × 44,482.40
  4. Step 4: Simplify right side
    76,741.54x = 4,710,842,738.05
  5. Step 5: Solve for x
    x = 4,710,842,738.05/76,741.54
  6. Step 6: Final answer
    x = 61,385.82

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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.