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Finding the Fourth Proportional to 56,312.70, 77,711.67 and 31,163.10

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Solution

The fourth proportional to 56,312.70, 77,711.67 and 31,163.10 is: 43,005.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,312.70 : 77,711.67 = 31,163.10 : x
  2. Step 2: Convert to fraction form
    56,312.70/77,711.67 = 31,163.10/x
  3. Step 3: Cross multiply
    56,312.70x = 77,711.67 × 31,163.10
  4. Step 4: Simplify right side
    56,312.70x = 2,421,736,543.38
  5. Step 5: Solve for x
    x = 2,421,736,543.38/56,312.70
  6. Step 6: Final answer
    x = 43,005.16

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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.