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Finding the Fourth Proportional to 46,665.32, 64,396.74 and 25,445

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Solution

The fourth proportional to 46,665.32, 64,396.74 and 25,445 is: 35,113.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,665.32 : 64,396.74 = 25,445 : x
  2. Step 2: Convert to fraction form
    46,665.32/64,396.74 = 25,445/x
  3. Step 3: Cross multiply
    46,665.32x = 64,396.74 × 25,445
  4. Step 4: Simplify right side
    46,665.32x = 1,638,575,049.30
  5. Step 5: Solve for x
    x = 1,638,575,049.30/46,665.32
  6. Step 6: Final answer
    x = 35,113.34

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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.