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Finding the Fourth Proportional to 56,706.61, 84,851.88 and 47,323.46

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Solution

The fourth proportional to 56,706.61, 84,851.88 and 47,323.46 is: 70,811.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,706.61 : 84,851.88 = 47,323.46 : x
  2. Step 2: Convert to fraction form
    56,706.61/84,851.88 = 47,323.46/x
  3. Step 3: Cross multiply
    56,706.61x = 84,851.88 × 47,323.46
  4. Step 4: Simplify right side
    56,706.61x = 4,015,484,549.10
  5. Step 5: Solve for x
    x = 4,015,484,549.10/56,706.61
  6. Step 6: Final answer
    x = 70,811.58

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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.