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Finding the Fourth Proportional to 77,403.48, 106,798.14 and 49,098.84

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Solution

The fourth proportional to 77,403.48, 106,798.14 and 49,098.84 is: 67,744.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,403.48 : 106,798.14 = 49,098.84 : x
  2. Step 2: Convert to fraction form
    77,403.48/106,798.14 = 49,098.84/x
  3. Step 3: Cross multiply
    77,403.48x = 106,798.14 × 49,098.84
  4. Step 4: Simplify right side
    77,403.48x = 5,243,664,788.16
  5. Step 5: Solve for x
    x = 5,243,664,788.16/77,403.48
  6. Step 6: Final answer
    x = 67,744.56

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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.