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Finding the Fourth Proportional to 46,916.48, 64,743 and 25,695.92

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Solution

The fourth proportional to 46,916.48, 64,743 and 25,695.92 is: 35,459.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,916.48 : 64,743 = 25,695.92 : x
  2. Step 2: Convert to fraction form
    46,916.48/64,743 = 25,695.92/x
  3. Step 3: Cross multiply
    46,916.48x = 64,743 × 25,695.92
  4. Step 4: Simplify right side
    46,916.48x = 1,663,630,948.56
  5. Step 5: Solve for x
    x = 1,663,630,948.56/46,916.48
  6. Step 6: Final answer
    x = 35,459.42

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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.