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Finding the Fourth Proportional to 98,107.52, 147,116.80 and 27,970.56

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Solution

The fourth proportional to 98,107.52, 147,116.80 and 27,970.56 is: 41,943.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,107.52 : 147,116.80 = 27,970.56 : x
  2. Step 2: Convert to fraction form
    98,107.52/147,116.80 = 27,970.56/x
  3. Step 3: Cross multiply
    98,107.52x = 147,116.80 × 27,970.56
  4. Step 4: Simplify right side
    98,107.52x = 4,114,939,281.41
  5. Step 5: Solve for x
    x = 4,114,939,281.41/98,107.52
  6. Step 6: Final answer
    x = 41,943.16

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1.5x scale

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.