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Finding the Fourth Proportional to 89,894, 134,862.60 and 34,490

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Solution

The fourth proportional to 89,894, 134,862.60 and 34,490 is: 51,743.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,894 : 134,862.60 = 34,490 : x
  2. Step 2: Convert to fraction form
    89,894/134,862.60 = 34,490/x
  3. Step 3: Cross multiply
    89,894x = 134,862.60 × 34,490
  4. Step 4: Simplify right side
    89,894x = 4,651,411,074
  5. Step 5: Solve for x
    x = 4,651,411,074/89,894
  6. Step 6: Final answer
    x = 51,743.29

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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.