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Finding the Fourth Proportional to 76,675.59, 115,041.93 and 34,543.02

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Solution

The fourth proportional to 76,675.59, 115,041.93 and 34,543.02 is: 51,827.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,675.59 : 115,041.93 = 34,543.02 : x
  2. Step 2: Convert to fraction form
    76,675.59/115,041.93 = 34,543.02/x
  3. Step 3: Cross multiply
    76,675.59x = 115,041.93 × 34,543.02
  4. Step 4: Simplify right side
    76,675.59x = 3,973,895,688.83
  5. Step 5: Solve for x
    x = 3,973,895,688.83/76,675.59
  6. Step 6: Final answer
    x = 51,827.39

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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.