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Finding the Fourth Proportional to 77,277.26, 106,642.60 and 47,062.58

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Solution

The fourth proportional to 77,277.26, 106,642.60 and 47,062.58 is: 64,946.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,277.26 : 106,642.60 = 47,062.58 : x
  2. Step 2: Convert to fraction form
    77,277.26/106,642.60 = 47,062.58/x
  3. Step 3: Cross multiply
    77,277.26x = 106,642.60 × 47,062.58
  4. Step 4: Simplify right side
    77,277.26x = 5,018,875,243.04
  5. Step 5: Solve for x
    x = 5,018,875,243.04/77,277.26
  6. Step 6: Final answer
    x = 64,946.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.