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Finding the Fourth Proportional to 53,457, 80,148.54 and 38,473.32

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Solution

The fourth proportional to 53,457, 80,148.54 and 38,473.32 is: 57,683.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,457 : 80,148.54 = 38,473.32 : x
  2. Step 2: Convert to fraction form
    53,457/80,148.54 = 38,473.32/x
  3. Step 3: Cross multiply
    53,457x = 80,148.54 × 38,473.32
  4. Step 4: Simplify right side
    53,457x = 3,083,580,426.95
  5. Step 5: Solve for x
    x = 3,083,580,426.95/53,457
  6. Step 6: Final answer
    x = 57,683.38

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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.