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Finding the Fourth Proportional to 77,130.97, 115,710.93 and 35,014.01

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Solution

The fourth proportional to 77,130.97, 115,710.93 and 35,014.01 is: 52,527.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,130.97 : 115,710.93 = 35,014.01 : x
  2. Step 2: Convert to fraction form
    77,130.97/115,710.93 = 35,014.01/x
  3. Step 3: Cross multiply
    77,130.97x = 115,710.93 × 35,014.01
  4. Step 4: Simplify right side
    77,130.97x = 4,051,503,081.57
  5. Step 5: Solve for x
    x = 4,051,503,081.57/77,130.97
  6. Step 6: Final answer
    x = 52,527.58

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Why These Related Problems?

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