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Finding the Fourth Proportional to 76,338, 105,346.44 and 42,804

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Solution

The fourth proportional to 76,338, 105,346.44 and 42,804 is: 59,069.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,338 : 105,346.44 = 42,804 : x
  2. Step 2: Convert to fraction form
    76,338/105,346.44 = 42,804/x
  3. Step 3: Cross multiply
    76,338x = 105,346.44 × 42,804
  4. Step 4: Simplify right side
    76,338x = 4,509,249,017.76
  5. Step 5: Solve for x
    x = 4,509,249,017.76/76,338
  6. Step 6: Final answer
    x = 59,069.52

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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.