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Finding the Fourth Proportional to 46,411.40, 69,638.70 and 24,249.80

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Solution

The fourth proportional to 46,411.40, 69,638.70 and 24,249.80 is: 36,385.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,411.40 : 69,638.70 = 24,249.80 : x
  2. Step 2: Convert to fraction form
    46,411.40/69,638.70 = 24,249.80/x
  3. Step 3: Cross multiply
    46,411.40x = 69,638.70 × 24,249.80
  4. Step 4: Simplify right side
    46,411.40x = 1,688,724,547.26
  5. Step 5: Solve for x
    x = 1,688,724,547.26/46,411.40
  6. Step 6: Final answer
    x = 36,385.99

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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.