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Finding the Fourth Proportional to 105,106.68, 157,561.56 and 34,969.68

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Solution

The fourth proportional to 105,106.68, 157,561.56 and 34,969.68 is: 52,421.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,106.68 : 157,561.56 = 34,969.68 : x
  2. Step 2: Convert to fraction form
    105,106.68/157,561.56 = 34,969.68/x
  3. Step 3: Cross multiply
    105,106.68x = 157,561.56 × 34,969.68
  4. Step 4: Simplify right side
    105,106.68x = 5,509,877,333.50
  5. Step 5: Solve for x
    x = 5,509,877,333.50/105,106.68
  6. Step 6: Final answer
    x = 52,421.76

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