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Finding the Fourth Proportional to 70,784.76, 97,685.02 and 38,521.46

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Solution

The fourth proportional to 70,784.76, 97,685.02 and 38,521.46 is: 53,160.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,784.76 : 97,685.02 = 38,521.46 : x
  2. Step 2: Convert to fraction form
    70,784.76/97,685.02 = 38,521.46/x
  3. Step 3: Cross multiply
    70,784.76x = 97,685.02 × 38,521.46
  4. Step 4: Simplify right side
    70,784.76x = 3,762,969,298.16
  5. Step 5: Solve for x
    x = 3,762,969,298.16/70,784.76
  6. Step 6: Final answer
    x = 53,160.73

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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.