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Finding the Fourth Proportional to 64,582, 89,159.70 and 41,941.24

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Solution

The fourth proportional to 64,582, 89,159.70 and 41,941.24 is: 57,902.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,582 : 89,159.70 = 41,941.24 : x
  2. Step 2: Convert to fraction form
    64,582/89,159.70 = 41,941.24/x
  3. Step 3: Cross multiply
    64,582x = 89,159.70 × 41,941.24
  4. Step 4: Simplify right side
    64,582x = 3,739,468,376.03
  5. Step 5: Solve for x
    x = 3,739,468,376.03/64,582
  6. Step 6: Final answer
    x = 57,902.64

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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.