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Finding the Fourth Proportional to 42,713.08, 64,081.32 and 20,545

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Solution

The fourth proportional to 42,713.08, 64,081.32 and 20,545 is: 30,823.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,713.08 : 64,081.32 = 20,545 : x
  2. Step 2: Convert to fraction form
    42,713.08/64,081.32 = 20,545/x
  3. Step 3: Cross multiply
    42,713.08x = 64,081.32 × 20,545
  4. Step 4: Simplify right side
    42,713.08x = 1,316,550,719.40
  5. Step 5: Solve for x
    x = 1,316,550,719.40/42,713.08
  6. Step 6: Final answer
    x = 30,823.13

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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.