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Finding the Fourth Proportional to 64,842, 97,263 and 15,594

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Solution

The fourth proportional to 64,842, 97,263 and 15,594 is: 23,391

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,842 : 97,263 = 15,594 : x
  2. Step 2: Convert to fraction form
    64,842/97,263 = 15,594/x
  3. Step 3: Cross multiply
    64,842x = 97,263 × 15,594
  4. Step 4: Simplify right side
    64,842x = 1,516,719,222
  5. Step 5: Solve for x
    x = 1,516,719,222/64,842
  6. Step 6: Final answer
    x = 23,391

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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.