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Finding the Fourth Proportional to 52,055.04, 71,838 and 29,398.80

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Solution

The fourth proportional to 52,055.04, 71,838 and 29,398.80 is: 40,571.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,055.04 : 71,838 = 29,398.80 : x
  2. Step 2: Convert to fraction form
    52,055.04/71,838 = 29,398.80/x
  3. Step 3: Cross multiply
    52,055.04x = 71,838 × 29,398.80
  4. Step 4: Simplify right side
    52,055.04x = 2,111,950,994.40
  5. Step 5: Solve for x
    x = 2,111,950,994.40/52,055.04
  6. Step 6: Final answer
    x = 40,571.50

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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.