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Finding the Fourth Proportional to 102,457.76, 153,686.64 and 32,344.16

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Solution

The fourth proportional to 102,457.76, 153,686.64 and 32,344.16 is: 48,516.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,457.76 : 153,686.64 = 32,344.16 : x
  2. Step 2: Convert to fraction form
    102,457.76/153,686.64 = 32,344.16/x
  3. Step 3: Cross multiply
    102,457.76x = 153,686.64 × 32,344.16
  4. Step 4: Simplify right side
    102,457.76x = 4,970,865,274.02
  5. Step 5: Solve for x
    x = 4,970,865,274.02/102,457.76
  6. Step 6: Final answer
    x = 48,516.24

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1.5x scale

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.