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Finding the Fourth Proportional to 70,307.64, 97,024.32 and 38,476.80

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Solution

The fourth proportional to 70,307.64, 97,024.32 and 38,476.80 is: 53,097.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,307.64 : 97,024.32 = 38,476.80 : x
  2. Step 2: Convert to fraction form
    70,307.64/97,024.32 = 38,476.80/x
  3. Step 3: Cross multiply
    70,307.64x = 97,024.32 × 38,476.80
  4. Step 4: Simplify right side
    70,307.64x = 3,733,185,355.78
  5. Step 5: Solve for x
    x = 3,733,185,355.78/70,307.64
  6. Step 6: Final answer
    x = 53,097.86

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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.