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Finding the Fourth Proportional to 76,688.00, 105,802.04 and 44,404.98

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Solution

The fourth proportional to 76,688.00, 105,802.04 and 44,404.98 is: 61,263.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,688.00 : 105,802.04 = 44,404.98 : x
  2. Step 2: Convert to fraction form
    76,688.00/105,802.04 = 44,404.98/x
  3. Step 3: Cross multiply
    76,688.00x = 105,802.04 × 44,404.98
  4. Step 4: Simplify right side
    76,688.00x = 4,698,137,248.13
  5. Step 5: Solve for x
    x = 4,698,137,248.13/76,688.00
  6. Step 6: Final answer
    x = 61,263.01

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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.