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Finding the Fourth Proportional to 64,886, 89,542.70 and 35,078

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Solution

The fourth proportional to 64,886, 89,542.70 and 35,078 is: 48,407.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,886 : 89,542.70 = 35,078 : x
  2. Step 2: Convert to fraction form
    64,886/89,542.70 = 35,078/x
  3. Step 3: Cross multiply
    64,886x = 89,542.70 × 35,078
  4. Step 4: Simplify right side
    64,886x = 3,140,978,830.60
  5. Step 5: Solve for x
    x = 3,140,978,830.60/64,886
  6. Step 6: Final answer
    x = 48,407.65

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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.