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Finding the Fourth Proportional to 61,437.28, 92,152.68 and 30,262

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Solution

The fourth proportional to 61,437.28, 92,152.68 and 30,262 is: 45,391.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,437.28 : 92,152.68 = 30,262 : x
  2. Step 2: Convert to fraction form
    61,437.28/92,152.68 = 30,262/x
  3. Step 3: Cross multiply
    61,437.28x = 92,152.68 × 30,262
  4. Step 4: Simplify right side
    61,437.28x = 2,788,724,402.16
  5. Step 5: Solve for x
    x = 2,788,724,402.16/61,437.28
  6. Step 6: Final answer
    x = 45,391.40

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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.