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Finding the Fourth Proportional to 102,475.46, 153,731.64 and 46,341.92

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Solution

The fourth proportional to 102,475.46, 153,731.64 and 46,341.92 is: 69,521.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,475.46 : 153,731.64 = 46,341.92 : x
  2. Step 2: Convert to fraction form
    102,475.46/153,731.64 = 46,341.92/x
  3. Step 3: Cross multiply
    102,475.46x = 153,731.64 × 46,341.92
  4. Step 4: Simplify right side
    102,475.46x = 7,124,219,362.35
  5. Step 5: Solve for x
    x = 7,124,219,362.35/102,475.46
  6. Step 6: Final answer
    x = 69,521.22

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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.