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Finding the Fourth Proportional to 46,672.32, 64,406.40 and 25,452

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Solution

The fourth proportional to 46,672.32, 64,406.40 and 25,452 is: 35,123.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,672.32 : 64,406.40 = 25,452 : x
  2. Step 2: Convert to fraction form
    46,672.32/64,406.40 = 25,452/x
  3. Step 3: Cross multiply
    46,672.32x = 64,406.40 × 25,452
  4. Step 4: Simplify right side
    46,672.32x = 1,639,271,692.80
  5. Step 5: Solve for x
    x = 1,639,271,692.80/46,672.32
  6. Step 6: Final answer
    x = 35,123.00

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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.