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Finding the Fourth Proportional to 70,106.09, 105,071.63 and 35,055.77

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Solution

The fourth proportional to 70,106.09, 105,071.63 and 35,055.77 is: 52,539.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,106.09 : 105,071.63 = 35,055.77 : x
  2. Step 2: Convert to fraction form
    70,106.09/105,071.63 = 35,055.77/x
  3. Step 3: Cross multiply
    70,106.09x = 105,071.63 × 35,055.77
  4. Step 4: Simplify right side
    70,106.09x = 3,683,366,194.17
  5. Step 5: Solve for x
    x = 3,683,366,194.17/70,106.09
  6. Step 6: Final answer
    x = 52,539.89

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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.