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Finding the Fourth Proportional to 77,010.95, 115,514.80 and 35,457.95

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Solution

The fourth proportional to 77,010.95, 115,514.80 and 35,457.95 is: 53,186.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,010.95 : 115,514.80 = 35,457.95 : x
  2. Step 2: Convert to fraction form
    77,010.95/115,514.80 = 35,457.95/x
  3. Step 3: Cross multiply
    77,010.95x = 115,514.80 × 35,457.95
  4. Step 4: Simplify right side
    77,010.95x = 4,095,918,002.66
  5. Step 5: Solve for x
    x = 4,095,918,002.66/77,010.95
  6. Step 6: Final answer
    x = 53,186.18

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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.