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Finding the Fourth Proportional to 46,686.96, 64,428 and 25,466.34

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Solution

The fourth proportional to 46,686.96, 64,428 and 25,466.34 is: 35,143.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,686.96 : 64,428 = 25,466.34 : x
  2. Step 2: Convert to fraction form
    46,686.96/64,428 = 25,466.34/x
  3. Step 3: Cross multiply
    46,686.96x = 64,428 × 25,466.34
  4. Step 4: Simplify right side
    46,686.96x = 1,640,745,353.52
  5. Step 5: Solve for x
    x = 1,640,745,353.52/46,686.96
  6. Step 6: Final answer
    x = 35,143.55

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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.