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Finding the Fourth Proportional to 92,407.84, 138,496.92 and 42,434.92

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Solution

The fourth proportional to 92,407.84, 138,496.92 and 42,434.92 is: 63,599.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,407.84 : 138,496.92 = 42,434.92 : x
  2. Step 2: Convert to fraction form
    92,407.84/138,496.92 = 42,434.92/x
  3. Step 3: Cross multiply
    92,407.84x = 138,496.92 × 42,434.92
  4. Step 4: Simplify right side
    92,407.84x = 5,877,105,720.45
  5. Step 5: Solve for x
    x = 5,877,105,720.45/92,407.84
  6. Step 6: Final answer
    x = 63,599.64

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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.