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Finding the Fourth Proportional to 83,284.79, 114,931.58 and 51,014.39

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Solution

The fourth proportional to 83,284.79, 114,931.58 and 51,014.39 is: 70,398.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,284.79 : 114,931.58 = 51,014.39 : x
  2. Step 2: Convert to fraction form
    83,284.79/114,931.58 = 51,014.39/x
  3. Step 3: Cross multiply
    83,284.79x = 114,931.58 × 51,014.39
  4. Step 4: Simplify right side
    83,284.79x = 5,863,163,615.71
  5. Step 5: Solve for x
    x = 5,863,163,615.71/83,284.79
  6. Step 6: Final answer
    x = 70,398.98

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1.5x scale

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.