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Finding the Fourth Proportional to 46,460.80, 64,121.40 and 27,598

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Solution

The fourth proportional to 46,460.80, 64,121.40 and 27,598 is: 38,088.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,460.80 : 64,121.40 = 27,598 : x
  2. Step 2: Convert to fraction form
    46,460.80/64,121.40 = 27,598/x
  3. Step 3: Cross multiply
    46,460.80x = 64,121.40 × 27,598
  4. Step 4: Simplify right side
    46,460.80x = 1,769,622,397.20
  5. Step 5: Solve for x
    x = 1,769,622,397.20/46,460.80
  6. Step 6: Final answer
    x = 38,088.50

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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.