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Finding the Fourth Proportional to 76,643.48, 105,752.14 and 44,806.20

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Solution

The fourth proportional to 76,643.48, 105,752.14 and 44,806.20 is: 61,823.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,643.48 : 105,752.14 = 44,806.20 : x
  2. Step 2: Convert to fraction form
    76,643.48/105,752.14 = 44,806.20/x
  3. Step 3: Cross multiply
    76,643.48x = 105,752.14 × 44,806.20
  4. Step 4: Simplify right side
    76,643.48x = 4,738,351,535.27
  5. Step 5: Solve for x
    x = 4,738,351,535.27/76,643.48
  6. Step 6: Final answer
    x = 61,823.28

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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.