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Finding the Fourth Proportional to 56,301.84, 77,693.32 and 31,149.84

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Solution

The fourth proportional to 56,301.84, 77,693.32 and 31,149.84 is: 42,985.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,301.84 : 77,693.32 = 31,149.84 : x
  2. Step 2: Convert to fraction form
    56,301.84/77,693.32 = 31,149.84/x
  3. Step 3: Cross multiply
    56,301.84x = 77,693.32 × 31,149.84
  4. Step 4: Simplify right side
    56,301.84x = 2,420,134,487.07
  5. Step 5: Solve for x
    x = 2,420,134,487.07/56,301.84
  6. Step 6: Final answer
    x = 42,985.00

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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.