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Finding the Fourth Proportional to 66,332.84, 91,538.76 and 37,658

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Solution

The fourth proportional to 66,332.84, 91,538.76 and 37,658 is: 51,967.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,332.84 : 91,538.76 = 37,658 : x
  2. Step 2: Convert to fraction form
    66,332.84/91,538.76 = 37,658/x
  3. Step 3: Cross multiply
    66,332.84x = 91,538.76 × 37,658
  4. Step 4: Simplify right side
    66,332.84x = 3,447,166,624.08
  5. Step 5: Solve for x
    x = 3,447,166,624.08/66,332.84
  6. Step 6: Final answer
    x = 51,967.72

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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.