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Finding the Fourth Proportional to 35,632.96, 53,468.16 and 20,870.88

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Solution

The fourth proportional to 35,632.96, 53,468.16 and 20,870.88 is: 31,317.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,632.96 : 53,468.16 = 20,870.88 : x
  2. Step 2: Convert to fraction form
    35,632.96/53,468.16 = 20,870.88/x
  3. Step 3: Cross multiply
    35,632.96x = 53,468.16 × 20,870.88
  4. Step 4: Simplify right side
    35,632.96x = 1,115,927,551.18
  5. Step 5: Solve for x
    x = 1,115,927,551.18/35,632.96
  6. Step 6: Final answer
    x = 31,317.28

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Why These Related Problems?

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