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Finding the Fourth Proportional to 46,667.57, 64,402.58 and 25,448

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Solution

The fourth proportional to 46,667.57, 64,402.58 and 25,448 is: 35,118.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,667.57 : 64,402.58 = 25,448 : x
  2. Step 2: Convert to fraction form
    46,667.57/64,402.58 = 25,448/x
  3. Step 3: Cross multiply
    46,667.57x = 64,402.58 × 25,448
  4. Step 4: Simplify right side
    46,667.57x = 1,638,916,728.60
  5. Step 5: Solve for x
    x = 1,638,916,728.60/46,667.57
  6. Step 6: Final answer
    x = 35,118.96

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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.