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Finding the Fourth Proportional to 65,707.68, 90,677.76 and 37,416

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Solution

The fourth proportional to 65,707.68, 90,677.76 and 37,416 is: 51,634.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,707.68 : 90,677.76 = 37,416 : x
  2. Step 2: Convert to fraction form
    65,707.68/90,677.76 = 37,416/x
  3. Step 3: Cross multiply
    65,707.68x = 90,677.76 × 37,416
  4. Step 4: Simplify right side
    65,707.68x = 3,392,799,068.16
  5. Step 5: Solve for x
    x = 3,392,799,068.16/65,707.68
  6. Step 6: Final answer
    x = 51,634.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.