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Finding the Fourth Proportional to 76,024, 104,916.36 and 42,490

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Solution

The fourth proportional to 76,024, 104,916.36 and 42,490 is: 58,638.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,024 : 104,916.36 = 42,490 : x
  2. Step 2: Convert to fraction form
    76,024/104,916.36 = 42,490/x
  3. Step 3: Cross multiply
    76,024x = 104,916.36 × 42,490
  4. Step 4: Simplify right side
    76,024x = 4,457,896,136.40
  5. Step 5: Solve for x
    x = 4,457,896,136.40/76,024
  6. Step 6: Final answer
    x = 58,638.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.