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Finding the Fourth Proportional to 76,531.74, 105,611.75 and 42,539.38

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Solution

The fourth proportional to 76,531.74, 105,611.75 and 42,539.38 is: 58,703.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,531.74 : 105,611.75 = 42,539.38 : x
  2. Step 2: Convert to fraction form
    76,531.74/105,611.75 = 42,539.38/x
  3. Step 3: Cross multiply
    76,531.74x = 105,611.75 × 42,539.38
  4. Step 4: Simplify right side
    76,531.74x = 4,492,658,048.51
  5. Step 5: Solve for x
    x = 4,492,658,048.51/76,531.74
  6. Step 6: Final answer
    x = 58,703.20

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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.