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Finding the Fourth Proportional to 54,703.58, 82,064.01 and 23,539.10

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Solution

The fourth proportional to 54,703.58, 82,064.01 and 23,539.10 is: 35,312.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,703.58 : 82,064.01 = 23,539.10 : x
  2. Step 2: Convert to fraction form
    54,703.58/82,064.01 = 23,539.10/x
  3. Step 3: Cross multiply
    54,703.58x = 82,064.01 × 23,539.10
  4. Step 4: Simplify right side
    54,703.58x = 1,931,712,527.47
  5. Step 5: Solve for x
    x = 1,931,712,527.47/54,703.58
  6. Step 6: Final answer
    x = 35,312.36

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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.