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Finding the Fourth Proportional to 56,199.90, 77,554.95 and 30,705.72

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Solution

The fourth proportional to 56,199.90, 77,554.95 and 30,705.72 is: 42,373.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,199.90 : 77,554.95 = 30,705.72 : x
  2. Step 2: Convert to fraction form
    56,199.90/77,554.95 = 30,705.72/x
  3. Step 3: Cross multiply
    56,199.90x = 77,554.95 × 30,705.72
  4. Step 4: Simplify right side
    56,199.90x = 2,381,380,464.17
  5. Step 5: Solve for x
    x = 2,381,380,464.17/56,199.90
  6. Step 6: Final answer
    x = 42,373.39

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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.