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Finding the Fourth Proportional to 83,703.96, 115,468.80 and 53,457.48

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Solution

The fourth proportional to 83,703.96, 115,468.80 and 53,457.48 is: 73,744.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,703.96 : 115,468.80 = 53,457.48 : x
  2. Step 2: Convert to fraction form
    83,703.96/115,468.80 = 53,457.48/x
  3. Step 3: Cross multiply
    83,703.96x = 115,468.80 × 53,457.48
  4. Step 4: Simplify right side
    83,703.96x = 6,172,671,066.62
  5. Step 5: Solve for x
    x = 6,172,671,066.62/83,703.96
  6. Step 6: Final answer
    x = 73,744.07

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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.