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Finding the Fourth Proportional to 46,455.72, 64,109.16 and 25,235.16

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Solution

The fourth proportional to 46,455.72, 64,109.16 and 25,235.16 is: 34,824.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,455.72 : 64,109.16 = 25,235.16 : x
  2. Step 2: Convert to fraction form
    46,455.72/64,109.16 = 25,235.16/x
  3. Step 3: Cross multiply
    46,455.72x = 64,109.16 × 25,235.16
  4. Step 4: Simplify right side
    46,455.72x = 1,617,804,910.07
  5. Step 5: Solve for x
    x = 1,617,804,910.07/46,455.72
  6. Step 6: Final answer
    x = 34,824.67

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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.