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Finding the Fourth Proportional to 64,862, 89,509.56 and 35,054

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Solution

The fourth proportional to 64,862, 89,509.56 and 35,054 is: 48,374.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,862 : 89,509.56 = 35,054 : x
  2. Step 2: Convert to fraction form
    64,862/89,509.56 = 35,054/x
  3. Step 3: Cross multiply
    64,862x = 89,509.56 × 35,054
  4. Step 4: Simplify right side
    64,862x = 3,137,668,116.24
  5. Step 5: Solve for x
    x = 3,137,668,116.24/64,862
  6. Step 6: Final answer
    x = 48,374.52

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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.