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Finding the Fourth Proportional to 117,089.84, 175,642.98 and 46,969.16

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Solution

The fourth proportional to 117,089.84, 175,642.98 and 46,969.16 is: 70,457.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,089.84 : 175,642.98 = 46,969.16 : x
  2. Step 2: Convert to fraction form
    117,089.84/175,642.98 = 46,969.16/x
  3. Step 3: Cross multiply
    117,089.84x = 175,642.98 × 46,969.16
  4. Step 4: Simplify right side
    117,089.84x = 8,249,803,230.50
  5. Step 5: Solve for x
    x = 8,249,803,230.50/117,089.84
  6. Step 6: Final answer
    x = 70,457.04

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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.