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Finding the Fourth Proportional to 31,329.47, 46,903.95 and 20,810

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Solution

The fourth proportional to 31,329.47, 46,903.95 and 20,810 is: 31,155.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,329.47 : 46,903.95 = 20,810 : x
  2. Step 2: Convert to fraction form
    31,329.47/46,903.95 = 20,810/x
  3. Step 3: Cross multiply
    31,329.47x = 46,903.95 × 20,810
  4. Step 4: Simplify right side
    31,329.47x = 976,071,199.50
  5. Step 5: Solve for x
    x = 976,071,199.50/31,329.47
  6. Step 6: Final answer
    x = 31,155.05

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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.