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Finding the Fourth Proportional to 65,276, 97,900.28 and 31,962.50

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Solution

The fourth proportional to 65,276, 97,900.28 and 31,962.50 is: 47,937.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,276 : 97,900.28 = 31,962.50 : x
  2. Step 2: Convert to fraction form
    65,276/97,900.28 = 31,962.50/x
  3. Step 3: Cross multiply
    65,276x = 97,900.28 × 31,962.50
  4. Step 4: Simplify right side
    65,276x = 3,129,137,699.50
  5. Step 5: Solve for x
    x = 3,129,137,699.50/65,276
  6. Step 6: Final answer
    x = 47,937.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.