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Finding the Fourth Proportional to 83,764.50, 115,595.02 and 46,038.76

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Solution

The fourth proportional to 83,764.50, 115,595.02 and 46,038.76 is: 63,533.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,764.50 : 115,595.02 = 46,038.76 : x
  2. Step 2: Convert to fraction form
    83,764.50/115,595.02 = 46,038.76/x
  3. Step 3: Cross multiply
    83,764.50x = 115,595.02 × 46,038.76
  4. Step 4: Simplify right side
    83,764.50x = 5,321,851,382.98
  5. Step 5: Solve for x
    x = 5,321,851,382.98/83,764.50
  6. Step 6: Final answer
    x = 63,533.49

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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.