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Finding the Fourth Proportional to 89,411.04, 123,373.53 and 51,678

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Solution

The fourth proportional to 89,411.04, 123,373.53 and 51,678 is: 71,307.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,411.04 : 123,373.53 = 51,678 : x
  2. Step 2: Convert to fraction form
    89,411.04/123,373.53 = 51,678/x
  3. Step 3: Cross multiply
    89,411.04x = 123,373.53 × 51,678
  4. Step 4: Simplify right side
    89,411.04x = 6,375,697,283.34
  5. Step 5: Solve for x
    x = 6,375,697,283.34/89,411.04
  6. Step 6: Final answer
    x = 71,307.72

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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.