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Finding the Fourth Proportional to 31,802.01, 47,710.50 and 31,273.08

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Solution

The fourth proportional to 31,802.01, 47,710.50 and 31,273.08 is: 46,916.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,802.01 : 47,710.50 = 31,273.08 : x
  2. Step 2: Convert to fraction form
    31,802.01/47,710.50 = 31,273.08/x
  3. Step 3: Cross multiply
    31,802.01x = 47,710.50 × 31,273.08
  4. Step 4: Simplify right side
    31,802.01x = 1,492,054,283.34
  5. Step 5: Solve for x
    x = 1,492,054,283.34/31,802.01
  6. Step 6: Final answer
    x = 46,916.98

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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.