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Finding the Fourth Proportional to 54,699, 75,484.62 and 29,548.50

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Solution

The fourth proportional to 54,699, 75,484.62 and 29,548.50 is: 40,776.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,699 : 75,484.62 = 29,548.50 : x
  2. Step 2: Convert to fraction form
    54,699/75,484.62 = 29,548.50/x
  3. Step 3: Cross multiply
    54,699x = 75,484.62 × 29,548.50
  4. Step 4: Simplify right side
    54,699x = 2,230,457,294.07
  5. Step 5: Solve for x
    x = 2,230,457,294.07/54,699
  6. Step 6: Final answer
    x = 40,776.93

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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.