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Finding the Fourth Proportional to 103,776, 155,679.36 and 48,341.76

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Solution

The fourth proportional to 103,776, 155,679.36 and 48,341.76 is: 72,519.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,776 : 155,679.36 = 48,341.76 : x
  2. Step 2: Convert to fraction form
    103,776/155,679.36 = 48,341.76/x
  3. Step 3: Cross multiply
    103,776x = 155,679.36 × 48,341.76
  4. Step 4: Simplify right side
    103,776x = 7,525,814,258.07
  5. Step 5: Solve for x
    x = 7,525,814,258.07/103,776
  6. Step 6: Final answer
    x = 72,519.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.