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Finding the Fourth Proportional to 46,862.94, 70,206.13 and 23,142.72

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Solution

The fourth proportional to 46,862.94, 70,206.13 and 23,142.72 is: 34,670.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,862.94 : 70,206.13 = 23,142.72 : x
  2. Step 2: Convert to fraction form
    46,862.94/70,206.13 = 23,142.72/x
  3. Step 3: Cross multiply
    46,862.94x = 70,206.13 × 23,142.72
  4. Step 4: Simplify right side
    46,862.94x = 1,624,761,101.07
  5. Step 5: Solve for x
    x = 1,624,761,101.07/46,862.94
  6. Step 6: Final answer
    x = 34,670.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.