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Finding the Fourth Proportional to 64,966.41, 89,653.64 and 35,158.41

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Solution

The fourth proportional to 64,966.41, 89,653.64 and 35,158.41 is: 48,518.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,966.41 : 89,653.64 = 35,158.41 : x
  2. Step 2: Convert to fraction form
    64,966.41/89,653.64 = 35,158.41/x
  3. Step 3: Cross multiply
    64,966.41x = 89,653.64 × 35,158.41
  4. Step 4: Simplify right side
    64,966.41x = 3,152,079,118.89
  5. Step 5: Solve for x
    x = 3,152,079,118.89/64,966.41
  6. Step 6: Final answer
    x = 48,518.60

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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.