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Finding the Fourth Proportional to 91,583.60, 137,428.32 and 49,464.48

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Solution

The fourth proportional to 91,583.60, 137,428.32 and 49,464.48 is: 74,225.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,583.60 : 137,428.32 = 49,464.48 : x
  2. Step 2: Convert to fraction form
    91,583.60/137,428.32 = 49,464.48/x
  3. Step 3: Cross multiply
    91,583.60x = 137,428.32 × 49,464.48
  4. Step 4: Simplify right side
    91,583.60x = 6,797,820,386.07
  5. Step 5: Solve for x
    x = 6,797,820,386.07/91,583.60
  6. Step 6: Final answer
    x = 74,225.30

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Why These Related Problems?

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