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Finding the Fourth Proportional to 53,487.84, 73,814.40 and 34,657.68

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Solution

The fourth proportional to 53,487.84, 73,814.40 and 34,657.68 is: 47,828.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,487.84 : 73,814.40 = 34,657.68 : x
  2. Step 2: Convert to fraction form
    53,487.84/73,814.40 = 34,657.68/x
  3. Step 3: Cross multiply
    53,487.84x = 73,814.40 × 34,657.68
  4. Step 4: Simplify right side
    53,487.84x = 2,558,235,854.59
  5. Step 5: Solve for x
    x = 2,558,235,854.59/53,487.84
  6. Step 6: Final answer
    x = 47,828.36

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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.