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Finding the Fourth Proportional to 105,075.72, 157,614.95 and 34,955.03

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Solution

The fourth proportional to 105,075.72, 157,614.95 and 34,955.03 is: 52,433.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,075.72 : 157,614.95 = 34,955.03 : x
  2. Step 2: Convert to fraction form
    105,075.72/157,614.95 = 34,955.03/x
  3. Step 3: Cross multiply
    105,075.72x = 157,614.95 × 34,955.03
  4. Step 4: Simplify right side
    105,075.72x = 5,509,435,305.70
  5. Step 5: Solve for x
    x = 5,509,435,305.70/105,075.72
  6. Step 6: Final answer
    x = 52,433.00

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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.