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Finding the Fourth Proportional to 52,802.63, 78,732.95 and 46,934.63

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Solution

The fourth proportional to 52,802.63, 78,732.95 and 46,934.63 is: 69,983.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,802.63 : 78,732.95 = 46,934.63 : x
  2. Step 2: Convert to fraction form
    52,802.63/78,732.95 = 46,934.63/x
  3. Step 3: Cross multiply
    52,802.63x = 78,732.95 × 46,934.63
  4. Step 4: Simplify right side
    52,802.63x = 3,695,302,129.49
  5. Step 5: Solve for x
    x = 3,695,302,129.49/52,802.63
  6. Step 6: Final answer
    x = 69,983.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.