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Finding the Fourth Proportional to 82,981.76, 114,511.36 and 45,253.76

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Solution

The fourth proportional to 82,981.76, 114,511.36 and 45,253.76 is: 62,448.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,981.76 : 114,511.36 = 45,253.76 : x
  2. Step 2: Convert to fraction form
    82,981.76/114,511.36 = 45,253.76/x
  3. Step 3: Cross multiply
    82,981.76x = 114,511.36 × 45,253.76
  4. Step 4: Simplify right side
    82,981.76x = 5,182,069,602.71
  5. Step 5: Solve for x
    x = 5,182,069,602.71/82,981.76
  6. Step 6: Final answer
    x = 62,448.30

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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.