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Finding the Fourth Proportional to 77,028.69, 106,294.51 and 43,035.49

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Solution

The fourth proportional to 77,028.69, 106,294.51 and 43,035.49 is: 59,386.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,028.69 : 106,294.51 = 43,035.49 : x
  2. Step 2: Convert to fraction form
    77,028.69/106,294.51 = 43,035.49/x
  3. Step 3: Cross multiply
    77,028.69x = 106,294.51 × 43,035.49
  4. Step 4: Simplify right side
    77,028.69x = 4,574,436,322.16
  5. Step 5: Solve for x
    x = 4,574,436,322.16/77,028.69
  6. Step 6: Final answer
    x = 59,386.14

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1.5x scale

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.