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Finding the Fourth Proportional to 46,432, 64,045.36 and 31,119

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Solution

The fourth proportional to 46,432, 64,045.36 and 31,119 is: 42,923.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,432 : 64,045.36 = 31,119 : x
  2. Step 2: Convert to fraction form
    46,432/64,045.36 = 31,119/x
  3. Step 3: Cross multiply
    46,432x = 64,045.36 × 31,119
  4. Step 4: Simplify right side
    46,432x = 1,993,027,557.84
  5. Step 5: Solve for x
    x = 1,993,027,557.84/46,432
  6. Step 6: Final answer
    x = 42,923.58

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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.