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Finding the Fourth Proportional to 70,765.31, 97,657.76 and 38,501.77

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Solution

The fourth proportional to 70,765.31, 97,657.76 and 38,501.77 is: 53,133.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,765.31 : 97,657.76 = 38,501.77 : x
  2. Step 2: Convert to fraction form
    70,765.31/97,657.76 = 38,501.77/x
  3. Step 3: Cross multiply
    70,765.31x = 97,657.76 × 38,501.77
  4. Step 4: Simplify right side
    70,765.31x = 3,759,996,614.24
  5. Step 5: Solve for x
    x = 3,759,996,614.24/70,765.31
  6. Step 6: Final answer
    x = 53,133.33

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1.5x scale

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.