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Finding the Fourth Proportional to 56,416.86, 77,854.86 and 30,923.10

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Solution

The fourth proportional to 56,416.86, 77,854.86 and 30,923.10 is: 42,673.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,416.86 : 77,854.86 = 30,923.10 : x
  2. Step 2: Convert to fraction form
    56,416.86/77,854.86 = 30,923.10/x
  3. Step 3: Cross multiply
    56,416.86x = 77,854.86 × 30,923.10
  4. Step 4: Simplify right side
    56,416.86x = 2,407,513,621.27
  5. Step 5: Solve for x
    x = 2,407,513,621.27/56,416.86
  6. Step 6: Final answer
    x = 42,673.66

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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.