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Finding the Fourth Proportional to 76,569.84, 105,666.30 and 43,035.84

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Solution

The fourth proportional to 76,569.84, 105,666.30 and 43,035.84 is: 59,389.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,569.84 : 105,666.30 = 43,035.84 : x
  2. Step 2: Convert to fraction form
    76,569.84/105,666.30 = 43,035.84/x
  3. Step 3: Cross multiply
    76,569.84x = 105,666.30 × 43,035.84
  4. Step 4: Simplify right side
    76,569.84x = 4,547,437,980.19
  5. Step 5: Solve for x
    x = 4,547,437,980.19/76,569.84
  6. Step 6: Final answer
    x = 59,389.41

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1.5x scale

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.