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Finding the Fourth Proportional to 73,710.32, 101,762.40 and 48,603.60

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Solution

The fourth proportional to 73,710.32, 101,762.40 and 48,603.60 is: 67,100.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,710.32 : 101,762.40 = 48,603.60 : x
  2. Step 2: Convert to fraction form
    73,710.32/101,762.40 = 48,603.60/x
  3. Step 3: Cross multiply
    73,710.32x = 101,762.40 × 48,603.60
  4. Step 4: Simplify right side
    73,710.32x = 4,946,018,984.64
  5. Step 5: Solve for x
    x = 4,946,018,984.64/73,710.32
  6. Step 6: Final answer
    x = 67,100.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.