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Finding the Fourth Proportional to 78,510.50, 117,696.81 and 31,159.01

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Solution

The fourth proportional to 78,510.50, 117,696.81 and 31,159.01 is: 46,711.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,510.50 : 117,696.81 = 31,159.01 : x
  2. Step 2: Convert to fraction form
    78,510.50/117,696.81 = 31,159.01/x
  3. Step 3: Cross multiply
    78,510.50x = 117,696.81 × 31,159.01
  4. Step 4: Simplify right side
    78,510.50x = 3,667,315,491.27
  5. Step 5: Solve for x
    x = 3,667,315,491.27/78,510.50
  6. Step 6: Final answer
    x = 46,711.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.