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Finding the Fourth Proportional to 30,915.38, 46,386.03 and 10,140.98

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Solution

The fourth proportional to 30,915.38, 46,386.03 and 10,140.98 is: 15,215.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,915.38 : 46,386.03 = 10,140.98 : x
  2. Step 2: Convert to fraction form
    30,915.38/46,386.03 = 10,140.98/x
  3. Step 3: Cross multiply
    30,915.38x = 46,386.03 × 10,140.98
  4. Step 4: Simplify right side
    30,915.38x = 470,399,802.51
  5. Step 5: Solve for x
    x = 470,399,802.51/30,915.38
  6. Step 6: Final answer
    x = 15,215.72

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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.