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Finding the Fourth Proportional to 77,306.22, 106,897.32 and 61,362.99

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Solution

The fourth proportional to 77,306.22, 106,897.32 and 61,362.99 is: 84,851.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,306.22 : 106,897.32 = 61,362.99 : x
  2. Step 2: Convert to fraction form
    77,306.22/106,897.32 = 61,362.99/x
  3. Step 3: Cross multiply
    77,306.22x = 106,897.32 × 61,362.99
  4. Step 4: Simplify right side
    77,306.22x = 6,559,539,178.19
  5. Step 5: Solve for x
    x = 6,559,539,178.19/77,306.22
  6. Step 6: Final answer
    x = 84,851.38

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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.