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Finding the Fourth Proportional to 70,700.13, 97,566.81 and 38,434.81

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Solution

The fourth proportional to 70,700.13, 97,566.81 and 38,434.81 is: 53,040.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,700.13 : 97,566.81 = 38,434.81 : x
  2. Step 2: Convert to fraction form
    70,700.13/97,566.81 = 38,434.81/x
  3. Step 3: Cross multiply
    70,700.13x = 97,566.81 × 38,434.81
  4. Step 4: Simplify right side
    70,700.13x = 3,749,961,612.48
  5. Step 5: Solve for x
    x = 3,749,961,612.48/70,700.13
  6. Step 6: Final answer
    x = 53,040.38

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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.