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Finding the Fourth Proportional to 76,762.82, 105,925.14 and 42,770.00

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Solution

The fourth proportional to 76,762.82, 105,925.14 and 42,770.00 is: 59,018.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,762.82 : 105,925.14 = 42,770.00 : x
  2. Step 2: Convert to fraction form
    76,762.82/105,925.14 = 42,770.00/x
  3. Step 3: Cross multiply
    76,762.82x = 105,925.14 × 42,770.00
  4. Step 4: Simplify right side
    76,762.82x = 4,530,418,502.61
  5. Step 5: Solve for x
    x = 4,530,418,502.61/76,762.82
  6. Step 6: Final answer
    x = 59,018.39

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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.