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Finding the Fourth Proportional to 31,088.19, 46,641.54 and 10,031.54

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Solution

The fourth proportional to 31,088.19, 46,641.54 and 10,031.54 is: 15,050.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,088.19 : 46,641.54 = 10,031.54 : x
  2. Step 2: Convert to fraction form
    31,088.19/46,641.54 = 10,031.54/x
  3. Step 3: Cross multiply
    31,088.19x = 46,641.54 × 10,031.54
  4. Step 4: Simplify right side
    31,088.19x = 467,886,240.96
  5. Step 5: Solve for x
    x = 467,886,240.96/31,088.19
  6. Step 6: Final answer
    x = 15,050.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.