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Finding the Fourth Proportional to 77,113.17, 115,388.07 and 45,538.16

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Solution

The fourth proportional to 77,113.17, 115,388.07 and 45,538.16 is: 68,140.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,113.17 : 115,388.07 = 45,538.16 : x
  2. Step 2: Convert to fraction form
    77,113.17/115,388.07 = 45,538.16/x
  3. Step 3: Cross multiply
    77,113.17x = 115,388.07 × 45,538.16
  4. Step 4: Simplify right side
    77,113.17x = 5,254,559,816.81
  5. Step 5: Solve for x
    x = 5,254,559,816.81/77,113.17
  6. Step 6: Final answer
    x = 68,140.89

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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.