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Finding the Fourth Proportional to 46,666.57, 64,401.20 and 25,447

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Solution

The fourth proportional to 46,666.57, 64,401.20 and 25,447 is: 35,117.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,666.57 : 64,401.20 = 25,447 : x
  2. Step 2: Convert to fraction form
    46,666.57/64,401.20 = 25,447/x
  3. Step 3: Cross multiply
    46,666.57x = 64,401.20 × 25,447
  4. Step 4: Simplify right side
    46,666.57x = 1,638,817,336.40
  5. Step 5: Solve for x
    x = 1,638,817,336.40/46,666.57
  6. Step 6: Final answer
    x = 35,117.59

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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.