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Finding the Fourth Proportional to 70,468.86, 97,235.10 and 46,582.80

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Solution

The fourth proportional to 70,468.86, 97,235.10 and 46,582.80 is: 64,276.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,468.86 : 97,235.10 = 46,582.80 : x
  2. Step 2: Convert to fraction form
    70,468.86/97,235.10 = 46,582.80/x
  3. Step 3: Cross multiply
    70,468.86x = 97,235.10 × 46,582.80
  4. Step 4: Simplify right side
    70,468.86x = 4,529,483,216.28
  5. Step 5: Solve for x
    x = 4,529,483,216.28/70,468.86
  6. Step 6: Final answer
    x = 64,276.38

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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.