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Finding the Fourth Proportional to 65,325.16, 97,988.28 and 20,952

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Solution

The fourth proportional to 65,325.16, 97,988.28 and 20,952 is: 31,428.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,325.16 : 97,988.28 = 20,952 : x
  2. Step 2: Convert to fraction form
    65,325.16/97,988.28 = 20,952/x
  3. Step 3: Cross multiply
    65,325.16x = 97,988.28 × 20,952
  4. Step 4: Simplify right side
    65,325.16x = 2,053,050,442.56
  5. Step 5: Solve for x
    x = 2,053,050,442.56/65,325.16
  6. Step 6: Final answer
    x = 31,428.17

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Why These Related Problems?

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