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Finding the Fourth Proportional to 100,696.32, 138,962.52 and 55,376.28

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Solution

The fourth proportional to 100,696.32, 138,962.52 and 55,376.28 is: 76,420.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,696.32 : 138,962.52 = 55,376.28 : x
  2. Step 2: Convert to fraction form
    100,696.32/138,962.52 = 55,376.28/x
  3. Step 3: Cross multiply
    100,696.32x = 138,962.52 × 55,376.28
  4. Step 4: Simplify right side
    100,696.32x = 7,695,227,417.03
  5. Step 5: Solve for x
    x = 7,695,227,417.03/100,696.32
  6. Step 6: Final answer
    x = 76,420.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.