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Finding the Fourth Proportional to 65,465.78, 98,184.78 and 29,916.99

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Solution

The fourth proportional to 65,465.78, 98,184.78 and 29,916.99 is: 44,869.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,465.78 : 98,184.78 = 29,916.99 : x
  2. Step 2: Convert to fraction form
    65,465.78/98,184.78 = 29,916.99/x
  3. Step 3: Cross multiply
    65,465.78x = 98,184.78 × 29,916.99
  4. Step 4: Simplify right side
    65,465.78x = 2,937,393,081.41
  5. Step 5: Solve for x
    x = 2,937,393,081.41/65,465.78
  6. Step 6: Final answer
    x = 44,869.14

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Why These Related Problems?

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