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Finding the Fourth Proportional to 77,114.88, 106,419.36 and 45,284.16

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Solution

The fourth proportional to 77,114.88, 106,419.36 and 45,284.16 is: 62,492.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,114.88 : 106,419.36 = 45,284.16 : x
  2. Step 2: Convert to fraction form
    77,114.88/106,419.36 = 45,284.16/x
  3. Step 3: Cross multiply
    77,114.88x = 106,419.36 × 45,284.16
  4. Step 4: Simplify right side
    77,114.88x = 4,819,111,325.34
  5. Step 5: Solve for x
    x = 4,819,111,325.34/77,114.88
  6. Step 6: Final answer
    x = 62,492.63

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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.