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Finding the Fourth Proportional to 65,023, 97,534.54 and 15,775

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Solution

The fourth proportional to 65,023, 97,534.54 and 15,775 is: 23,662.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,023 : 97,534.54 = 15,775 : x
  2. Step 2: Convert to fraction form
    65,023/97,534.54 = 15,775/x
  3. Step 3: Cross multiply
    65,023x = 97,534.54 × 15,775
  4. Step 4: Simplify right side
    65,023x = 1,538,607,368.50
  5. Step 5: Solve for x
    x = 1,538,607,368.50/65,023
  6. Step 6: Final answer
    x = 23,662.51

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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.