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Finding the Fourth Proportional to 31,211.65, 46,762.98 and 25,980.29

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Solution

The fourth proportional to 31,211.65, 46,762.98 and 25,980.29 is: 38,925.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,211.65 : 46,762.98 = 25,980.29 : x
  2. Step 2: Convert to fraction form
    31,211.65/46,762.98 = 25,980.29/x
  3. Step 3: Cross multiply
    31,211.65x = 46,762.98 × 25,980.29
  4. Step 4: Simplify right side
    31,211.65x = 1,214,916,071.50
  5. Step 5: Solve for x
    x = 1,214,916,071.50/31,211.65
  6. Step 6: Final answer
    x = 38,925.08

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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.