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Finding the Fourth Proportional to 30,807.10, 46,210.65 and 10,032.70

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Solution

The fourth proportional to 30,807.10, 46,210.65 and 10,032.70 is: 15,049.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,807.10 : 46,210.65 = 10,032.70 : x
  2. Step 2: Convert to fraction form
    30,807.10/46,210.65 = 10,032.70/x
  3. Step 3: Cross multiply
    30,807.10x = 46,210.65 × 10,032.70
  4. Step 4: Simplify right side
    30,807.10x = 463,617,588.26
  5. Step 5: Solve for x
    x = 463,617,588.26/30,807.10
  6. Step 6: Final answer
    x = 15,049.05

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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.