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Finding the Fourth Proportional to 46,564.42, 64,146 and 34,607.02

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Solution

The fourth proportional to 46,564.42, 64,146 and 34,607.02 is: 47,673.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,564.42 : 64,146 = 34,607.02 : x
  2. Step 2: Convert to fraction form
    46,564.42/64,146 = 34,607.02/x
  3. Step 3: Cross multiply
    46,564.42x = 64,146 × 34,607.02
  4. Step 4: Simplify right side
    46,564.42x = 2,219,901,904.92
  5. Step 5: Solve for x
    x = 2,219,901,904.92/46,564.42
  6. Step 6: Final answer
    x = 47,673.78

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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.