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Finding the Fourth Proportional to 46,586.40, 64,290 and 25,366.08

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Solution

The fourth proportional to 46,586.40, 64,290 and 25,366.08 is: 35,005.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,586.40 : 64,290 = 25,366.08 : x
  2. Step 2: Convert to fraction form
    46,586.40/64,290 = 25,366.08/x
  3. Step 3: Cross multiply
    46,586.40x = 64,290 × 25,366.08
  4. Step 4: Simplify right side
    46,586.40x = 1,630,785,283.20
  5. Step 5: Solve for x
    x = 1,630,785,283.20/46,586.40
  6. Step 6: Final answer
    x = 35,005.61

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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.