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Finding the Fourth Proportional to 56,593.32, 78,097.38 and 31,442.88

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Solution

The fourth proportional to 56,593.32, 78,097.38 and 31,442.88 is: 43,390.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,593.32 : 78,097.38 = 31,442.88 : x
  2. Step 2: Convert to fraction form
    56,593.32/78,097.38 = 31,442.88/x
  3. Step 3: Cross multiply
    56,593.32x = 78,097.38 × 31,442.88
  4. Step 4: Simplify right side
    56,593.32x = 2,455,606,547.65
  5. Step 5: Solve for x
    x = 2,455,606,547.65/56,593.32
  6. Step 6: Final answer
    x = 43,390.40

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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.