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Finding the Fourth Proportional to 46,563.95, 64,258.16 and 25,343.16

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Solution

The fourth proportional to 46,563.95, 64,258.16 and 25,343.16 is: 34,973.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,563.95 : 64,258.16 = 25,343.16 : x
  2. Step 2: Convert to fraction form
    46,563.95/64,258.16 = 25,343.16/x
  3. Step 3: Cross multiply
    46,563.95x = 64,258.16 × 25,343.16
  4. Step 4: Simplify right side
    46,563.95x = 1,628,504,703.47
  5. Step 5: Solve for x
    x = 1,628,504,703.47/46,563.95
  6. Step 6: Final answer
    x = 34,973.51

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Why These Related Problems?

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