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Finding the Fourth Proportional to 105,502.52, 158,041.80 and 49,265.06

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Solution

The fourth proportional to 105,502.52, 158,041.80 and 49,265.06 is: 73,798.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,502.52 : 158,041.80 = 49,265.06 : x
  2. Step 2: Convert to fraction form
    105,502.52/158,041.80 = 49,265.06/x
  3. Step 3: Cross multiply
    105,502.52x = 158,041.80 × 49,265.06
  4. Step 4: Simplify right side
    105,502.52x = 7,785,938,759.51
  5. Step 5: Solve for x
    x = 7,785,938,759.51/105,502.52
  6. Step 6: Final answer
    x = 73,798.60

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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.