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Finding the Fourth Proportional to 77,486.76, 116,128.02 and 30,714.12

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Solution

The fourth proportional to 77,486.76, 116,128.02 and 30,714.12 is: 46,030.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,486.76 : 116,128.02 = 30,714.12 : x
  2. Step 2: Convert to fraction form
    77,486.76/116,128.02 = 30,714.12/x
  3. Step 3: Cross multiply
    77,486.76x = 116,128.02 × 30,714.12
  4. Step 4: Simplify right side
    77,486.76x = 3,566,769,941.64
  5. Step 5: Solve for x
    x = 3,566,769,941.64/77,486.76
  6. Step 6: Final answer
    x = 46,030.70

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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.