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Finding the Fourth Proportional to 70,785.30, 97,681.23 and 38,953.38

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Solution

The fourth proportional to 70,785.30, 97,681.23 and 38,953.38 is: 53,754.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,785.30 : 97,681.23 = 38,953.38 : x
  2. Step 2: Convert to fraction form
    70,785.30/97,681.23 = 38,953.38/x
  3. Step 3: Cross multiply
    70,785.30x = 97,681.23 × 38,953.38
  4. Step 4: Simplify right side
    70,785.30x = 3,805,014,071.06
  5. Step 5: Solve for x
    x = 3,805,014,071.06/70,785.30
  6. Step 6: Final answer
    x = 53,754.30

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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.