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Finding the Fourth Proportional to 46,225.95, 69,338.71 and 11,165.50

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Solution

The fourth proportional to 46,225.95, 69,338.71 and 11,165.50 is: 16,748.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,225.95 : 69,338.71 = 11,165.50 : x
  2. Step 2: Convert to fraction form
    46,225.95/69,338.71 = 11,165.50/x
  3. Step 3: Cross multiply
    46,225.95x = 69,338.71 × 11,165.50
  4. Step 4: Simplify right side
    46,225.95x = 774,201,366.51
  5. Step 5: Solve for x
    x = 774,201,366.51/46,225.95
  6. Step 6: Final answer
    x = 16,748.20

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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.