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Finding the Fourth Proportional to 70,302.51, 97,017.47 and 38,471.41

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Solution

The fourth proportional to 70,302.51, 97,017.47 and 38,471.41 is: 53,090.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,302.51 : 97,017.47 = 38,471.41 : x
  2. Step 2: Convert to fraction form
    70,302.51/97,017.47 = 38,471.41/x
  3. Step 3: Cross multiply
    70,302.51x = 97,017.47 × 38,471.41
  4. Step 4: Simplify right side
    70,302.51x = 3,732,398,865.53
  5. Step 5: Solve for x
    x = 3,732,398,865.53/70,302.51
  6. Step 6: Final answer
    x = 53,090.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.