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Finding the Fourth Proportional to 64,094.16, 96,010.68 and 52,290

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Solution

The fourth proportional to 64,094.16, 96,010.68 and 52,290 is: 78,328.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,094.16 : 96,010.68 = 52,290 : x
  2. Step 2: Convert to fraction form
    64,094.16/96,010.68 = 52,290/x
  3. Step 3: Cross multiply
    64,094.16x = 96,010.68 × 52,290
  4. Step 4: Simplify right side
    64,094.16x = 5,020,398,457.20
  5. Step 5: Solve for x
    x = 5,020,398,457.20/64,094.16
  6. Step 6: Final answer
    x = 78,328.49

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Why These Related Problems?

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