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Finding the Fourth Proportional to 100,757, 139,045.48 and 56,045

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Solution

The fourth proportional to 100,757, 139,045.48 and 56,045 is: 77,342.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,757 : 139,045.48 = 56,045 : x
  2. Step 2: Convert to fraction form
    100,757/139,045.48 = 56,045/x
  3. Step 3: Cross multiply
    100,757x = 139,045.48 × 56,045
  4. Step 4: Simplify right side
    100,757x = 7,792,803,926.60
  5. Step 5: Solve for x
    x = 7,792,803,926.60/100,757
  6. Step 6: Final answer
    x = 77,342.56

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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.