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Finding the Fourth Proportional to 77,096.48, 106,391.76 and 43,561.76

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Solution

The fourth proportional to 77,096.48, 106,391.76 and 43,561.76 is: 60,114.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,096.48 : 106,391.76 = 43,561.76 : x
  2. Step 2: Convert to fraction form
    77,096.48/106,391.76 = 43,561.76/x
  3. Step 3: Cross multiply
    77,096.48x = 106,391.76 × 43,561.76
  4. Step 4: Simplify right side
    77,096.48x = 4,634,612,315.10
  5. Step 5: Solve for x
    x = 4,634,612,315.10/77,096.48
  6. Step 6: Final answer
    x = 60,114.45

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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.