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Finding the Fourth Proportional to 70,656.12, 97,507.62 and 38,826

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Solution

The fourth proportional to 70,656.12, 97,507.62 and 38,826 is: 53,581.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,656.12 : 97,507.62 = 38,826 : x
  2. Step 2: Convert to fraction form
    70,656.12/97,507.62 = 38,826/x
  3. Step 3: Cross multiply
    70,656.12x = 97,507.62 × 38,826
  4. Step 4: Simplify right side
    70,656.12x = 3,785,830,854.12
  5. Step 5: Solve for x
    x = 3,785,830,854.12/70,656.12
  6. Step 6: Final answer
    x = 53,581.07

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