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Finding the Fourth Proportional to 120,710.44, 181,085.10 and 37,585

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Solution

The fourth proportional to 120,710.44, 181,085.10 and 37,585 is: 56,383.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,710.44 : 181,085.10 = 37,585 : x
  2. Step 2: Convert to fraction form
    120,710.44/181,085.10 = 37,585/x
  3. Step 3: Cross multiply
    120,710.44x = 181,085.10 × 37,585
  4. Step 4: Simplify right side
    120,710.44x = 6,806,083,483.50
  5. Step 5: Solve for x
    x = 6,806,083,483.50/120,710.44
  6. Step 6: Final answer
    x = 56,383.55

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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.