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Finding the Fourth Proportional to 71,971.58, 99,369.71 and 46,539.47

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Solution

The fourth proportional to 71,971.58, 99,369.71 and 46,539.47 is: 64,256.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,971.58 : 99,369.71 = 46,539.47 : x
  2. Step 2: Convert to fraction form
    71,971.58/99,369.71 = 46,539.47/x
  3. Step 3: Cross multiply
    71,971.58x = 99,369.71 × 46,539.47
  4. Step 4: Simplify right side
    71,971.58x = 4,624,612,907.91
  5. Step 5: Solve for x
    x = 4,624,612,907.91/71,971.58
  6. Step 6: Final answer
    x = 64,256.10

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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.