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Finding the Fourth Proportional to 56,412.99, 77,857.70 and 32,539.14

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Solution

The fourth proportional to 56,412.99, 77,857.70 and 32,539.14 is: 44,908.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,412.99 : 77,857.70 = 32,539.14 : x
  2. Step 2: Convert to fraction form
    56,412.99/77,857.70 = 32,539.14/x
  3. Step 3: Cross multiply
    56,412.99x = 77,857.70 × 32,539.14
  4. Step 4: Simplify right side
    56,412.99x = 2,533,422,600.38
  5. Step 5: Solve for x
    x = 2,533,422,600.38/56,412.99
  6. Step 6: Final answer
    x = 44,908.50

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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.