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Finding the Fourth Proportional to 76,464.48, 114,543.62 and 59,746.08

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Solution

The fourth proportional to 76,464.48, 114,543.62 and 59,746.08 is: 89,499.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,464.48 : 114,543.62 = 59,746.08 : x
  2. Step 2: Convert to fraction form
    76,464.48/114,543.62 = 59,746.08/x
  3. Step 3: Cross multiply
    76,464.48x = 114,543.62 × 59,746.08
  4. Step 4: Simplify right side
    76,464.48x = 6,843,532,284.01
  5. Step 5: Solve for x
    x = 6,843,532,284.01/76,464.48
  6. Step 6: Final answer
    x = 89,499.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.