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Finding the Fourth Proportional to 52,275.84, 78,264 and 48,965.12

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Solution

The fourth proportional to 52,275.84, 78,264 and 48,965.12 is: 73,307.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,275.84 : 78,264 = 48,965.12 : x
  2. Step 2: Convert to fraction form
    52,275.84/78,264 = 48,965.12/x
  3. Step 3: Cross multiply
    52,275.84x = 78,264 × 48,965.12
  4. Step 4: Simplify right side
    52,275.84x = 3,832,206,151.68
  5. Step 5: Solve for x
    x = 3,832,206,151.68/52,275.84
  6. Step 6: Final answer
    x = 73,307.40

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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.