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Finding the Fourth Proportional to 70,802.94, 97,710.66 and 38,973.18

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Solution

The fourth proportional to 70,802.94, 97,710.66 and 38,973.18 is: 53,784.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,802.94 : 97,710.66 = 38,973.18 : x
  2. Step 2: Convert to fraction form
    70,802.94/97,710.66 = 38,973.18/x
  3. Step 3: Cross multiply
    70,802.94x = 97,710.66 × 38,973.18
  4. Step 4: Simplify right side
    70,802.94x = 3,808,095,140.10
  5. Step 5: Solve for x
    x = 3,808,095,140.10/70,802.94
  6. Step 6: Final answer
    x = 53,784.42

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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.