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Finding the Fourth Proportional to 76,459.58, 114,726.96 and 34,369.40

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Solution

The fourth proportional to 76,459.58, 114,726.96 and 34,369.40 is: 51,571.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,459.58 : 114,726.96 = 34,369.40 : x
  2. Step 2: Convert to fraction form
    76,459.58/114,726.96 = 34,369.40/x
  3. Step 3: Cross multiply
    76,459.58x = 114,726.96 × 34,369.40
  4. Step 4: Simplify right side
    76,459.58x = 3,943,096,779.02
  5. Step 5: Solve for x
    x = 3,943,096,779.02/76,459.58
  6. Step 6: Final answer
    x = 51,571.00

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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.