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Finding the Fourth Proportional to 76,346.96, 105,358.95 and 42,355.45

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Solution

The fourth proportional to 76,346.96, 105,358.95 and 42,355.45 is: 58,450.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,346.96 : 105,358.95 = 42,355.45 : x
  2. Step 2: Convert to fraction form
    76,346.96/105,358.95 = 42,355.45/x
  3. Step 3: Cross multiply
    76,346.96x = 105,358.95 × 42,355.45
  4. Step 4: Simplify right side
    76,346.96x = 4,462,525,475.38
  5. Step 5: Solve for x
    x = 4,462,525,475.38/76,346.96
  6. Step 6: Final answer
    x = 58,450.60

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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.