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Finding the Fourth Proportional to 100,030.03, 138,045 and 54,705.31

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Solution

The fourth proportional to 100,030.03, 138,045 and 54,705.31 is: 75,495.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,030.03 : 138,045 = 54,705.31 : x
  2. Step 2: Convert to fraction form
    100,030.03/138,045 = 54,705.31/x
  3. Step 3: Cross multiply
    100,030.03x = 138,045 × 54,705.31
  4. Step 4: Simplify right side
    100,030.03x = 7,551,794,518.95
  5. Step 5: Solve for x
    x = 7,551,794,518.95/100,030.03
  6. Step 6: Final answer
    x = 75,495.27

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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.