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Finding the Fourth Proportional to 56,740.50, 78,307.36 and 31,590

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Solution

The fourth proportional to 56,740.50, 78,307.36 and 31,590 is: 43,597.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,740.50 : 78,307.36 = 31,590 : x
  2. Step 2: Convert to fraction form
    56,740.50/78,307.36 = 31,590/x
  3. Step 3: Cross multiply
    56,740.50x = 78,307.36 × 31,590
  4. Step 4: Simplify right side
    56,740.50x = 2,473,729,423.43
  5. Step 5: Solve for x
    x = 2,473,729,423.43/56,740.50
  6. Step 6: Final answer
    x = 43,597.24

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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.