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Finding the Fourth Proportional to 100,417.56, 138,577.62 and 55,094.70

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Solution

The fourth proportional to 100,417.56, 138,577.62 and 55,094.70 is: 76,031.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,417.56 : 138,577.62 = 55,094.70 : x
  2. Step 2: Convert to fraction form
    100,417.56/138,577.62 = 55,094.70/x
  3. Step 3: Cross multiply
    100,417.56x = 138,577.62 × 55,094.70
  4. Step 4: Simplify right side
    100,417.56x = 7,634,892,400.61
  5. Step 5: Solve for x
    x = 7,634,892,400.61/100,417.56
  6. Step 6: Final answer
    x = 76,031.45

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