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Finding the Fourth Proportional to 35,700.48, 53,553.33 and 9,405

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Solution

The fourth proportional to 35,700.48, 53,553.33 and 9,405 is: 14,108.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,700.48 : 53,553.33 = 9,405 : x
  2. Step 2: Convert to fraction form
    35,700.48/53,553.33 = 9,405/x
  3. Step 3: Cross multiply
    35,700.48x = 53,553.33 × 9,405
  4. Step 4: Simplify right side
    35,700.48x = 503,669,068.65
  5. Step 5: Solve for x
    x = 503,669,068.65/35,700.48
  6. Step 6: Final answer
    x = 14,108.19

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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.