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Finding the Fourth Proportional to 56,461.50, 84,697.16 and 14,908.50

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Solution

The fourth proportional to 56,461.50, 84,697.16 and 14,908.50 is: 22,364.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,461.50 : 84,697.16 = 14,908.50 : x
  2. Step 2: Convert to fraction form
    56,461.50/84,697.16 = 14,908.50/x
  3. Step 3: Cross multiply
    56,461.50x = 84,697.16 × 14,908.50
  4. Step 4: Simplify right side
    56,461.50x = 1,262,707,535.32
  5. Step 5: Solve for x
    x = 1,262,707,535.32/56,461.50
  6. Step 6: Final answer
    x = 22,364.05

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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.