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Finding the Fourth Proportional to 76,332.96, 105,315.12 and 46,129.68

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Solution

The fourth proportional to 76,332.96, 105,315.12 and 46,129.68 is: 63,644.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,332.96 : 105,315.12 = 46,129.68 : x
  2. Step 2: Convert to fraction form
    76,332.96/105,315.12 = 46,129.68/x
  3. Step 3: Cross multiply
    76,332.96x = 105,315.12 × 46,129.68
  4. Step 4: Simplify right side
    76,332.96x = 4,858,152,784.76
  5. Step 5: Solve for x
    x = 4,858,152,784.76/76,332.96
  6. Step 6: Final answer
    x = 63,644.23

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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.