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Finding the Fourth Proportional to 76,297, 105,289.86 and 42,763.24

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Solution

The fourth proportional to 76,297, 105,289.86 and 42,763.24 is: 59,013.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,297 : 105,289.86 = 42,763.24 : x
  2. Step 2: Convert to fraction form
    76,297/105,289.86 = 42,763.24/x
  3. Step 3: Cross multiply
    76,297x = 105,289.86 × 42,763.24
  4. Step 4: Simplify right side
    76,297x = 4,502,535,552.75
  5. Step 5: Solve for x
    x = 4,502,535,552.75/76,297
  6. Step 6: Final answer
    x = 59,013.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.