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Finding the Fourth Proportional to 101,701.60, 152,509.20 and 49,127.20

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Solution

The fourth proportional to 101,701.60, 152,509.20 and 49,127.20 is: 73,669.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,701.60 : 152,509.20 = 49,127.20 : x
  2. Step 2: Convert to fraction form
    101,701.60/152,509.20 = 49,127.20/x
  3. Step 3: Cross multiply
    101,701.60x = 152,509.20 × 49,127.20
  4. Step 4: Simplify right side
    101,701.60x = 7,492,349,970.24
  5. Step 5: Solve for x
    x = 7,492,349,970.24/101,701.60
  6. Step 6: Final answer
    x = 73,669.93

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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.