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Finding the Fourth Proportional to 64,924, 89,595.20 and 35,116

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Solution

The fourth proportional to 64,924, 89,595.20 and 35,116 is: 48,460.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,924 : 89,595.20 = 35,116 : x
  2. Step 2: Convert to fraction form
    64,924/89,595.20 = 35,116/x
  3. Step 3: Cross multiply
    64,924x = 89,595.20 × 35,116
  4. Step 4: Simplify right side
    64,924x = 3,146,225,043.20
  5. Step 5: Solve for x
    x = 3,146,225,043.20/64,924
  6. Step 6: Final answer
    x = 48,460.12

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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.