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Finding the Fourth Proportional to 47,175.13, 70,779.71 and 23,783.95

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Solution

The fourth proportional to 47,175.13, 70,779.71 and 23,783.95 is: 35,684.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,175.13 : 70,779.71 = 23,783.95 : x
  2. Step 2: Convert to fraction form
    47,175.13/70,779.71 = 23,783.95/x
  3. Step 3: Cross multiply
    47,175.13x = 70,779.71 × 23,783.95
  4. Step 4: Simplify right side
    47,175.13x = 1,683,421,083.65
  5. Step 5: Solve for x
    x = 1,683,421,083.65/47,175.13
  6. Step 6: Final answer
    x = 35,684.50

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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.