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Finding the Fourth Proportional to 99,345.84, 137,094.57 and 56,333.22

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Solution

The fourth proportional to 99,345.84, 137,094.57 and 56,333.22 is: 77,738.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,345.84 : 137,094.57 = 56,333.22 : x
  2. Step 2: Convert to fraction form
    99,345.84/137,094.57 = 56,333.22/x
  3. Step 3: Cross multiply
    99,345.84x = 137,094.57 × 56,333.22
  4. Step 4: Simplify right side
    99,345.84x = 7,722,978,572.62
  5. Step 5: Solve for x
    x = 7,722,978,572.62/99,345.84
  6. Step 6: Final answer
    x = 77,738.32

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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.